{"page":"<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" />\n<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" />\n<div data-title='Multiplication of Vectors: Understanding Scalars and Vector Notation' data-url='/boclips/videos/630b58455f69c214af247028' data-video-url='/boclips/videos/630b58455f69c214af247028' id='bo_player_modal'>\n<div class='boclips-resource-page modal-dialog panel-container'>\n<div class='react-notifications-root'></div>\n<div class='rp-header'>\n<div class='rp-type'>\n<i aria-hidden='true' class='fai fa-regular fa-circle-play'></i>\nVideo\n</div>\n<h1 class='rp-title' id='video-title'>\nMultiplication of Vectors: Understanding Scalars and Vector Notation\n</h1>\n<div class='rp-actions'>\n<div class='mr-1'>\n<a class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"><span><span>Get Free Access</span><span class=\"\"> for 10 Days</span><span>!</span></span></a>\n</div>\n</div>\n</div>\n<div class='rp-body'>\n<div class='rp-info'>\n<div aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'>&times;</div>\n<i aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'></i>\n<i aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'></i>\n<div class='rp-rating'>\n<span class='resource-pool'>\n<span class='pool-label'>Publisher:</span>\n<span class='pool-name'>\n<span class='text'><a data-publisher-id=\"30357444\" href=\"/search?publisher_ids%5B%5D=30357444\">KnowMo</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>This video is a lecture presentation on the topic of multiplication of vectors. The presenter starts by defining what vectors are and how they are represented using vector notation. The video then goes on to explain how multiplication...</span>\n<span class='full-description hide'>This video is a lecture presentation on the topic of multiplication of vectors. The presenter starts by defining what vectors are and how they are represented using vector notation. The video then goes on to explain how multiplication affects the magnitude of vectors and how to calculate scalar values. The latter half of the video is focused on solving mathematical problems involving vectors using the information provided in the questions. The presenter demonstrates how to express vectors in terms of given variables and how to use ratios to calculate vector lengths.</span>\n</div>\n<div class='action-container flex justify-between'>\n<button aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'>\n<i class='fai fa-solid fa-align-left'></i>\n<span id='read_more'>Read More</span>\n</button>\n<div class='rp-report'>\n</div>\n</div>\n<div aria-labelledby='resource-details-heading' class='rp-info-section'>\n<h2 class='title' id='resource-details-heading'>Resource Details</h2>\n<div class='rp-resource-details clearfix'>\n<div class='detail'>\n<dl>\n<dt>Curator Rating</dt>\n<dd><span class=\"star-rating\" aria-label=\"4.0 out of 5 stars\" role=\"img\"><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-regular fa-star text-action\" aria-hidden=\"true\"></i></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt class=\"educator-rating-title\">Educator Rating</dt><dd><div class=\"educator-rating-details\" data-path=\"/educator_ratings/rrp_data?resourceable_id=35562&amp;resourceable_type=Boclips%3A%3AVideoMetadata\"><span class=\"not-yet-rated\">Not yet Rated</span></div></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Length</dt>\n<dd>11:28</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Grade</dt><dd title=\"Grade\">12th - Higher Ed</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Subjects</dt><dd><span><a href=\"/search?grade_ids%5B%5D=259&amp;grade_ids%5B%5D=258&amp;search_tab_id=1&amp;subject_ids%5B%5D=365220\">Math</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>6 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Type</dt><dd><span><a href=\"/search?grade_ids%5B%5D=259&amp;grade_ids%5B%5D=258&amp;search_tab_id=2&amp;type_ids%5B%5D=4543647\">Instructional Videos</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Source:</dt>\n<div class='preview-source' data-animation='true' data-boundary='.rp-info' data-container='.rp-resource-details' data-html='false' data-title='Learn GCSE maths concepts with these detailed explanations and visuals.' data-trigger='hover focus'>\n<span>KnowMo GCSE Maths</span>\n<i aria-hidden='true' class='fa-solid fa-circle-info channel-tooltip-icon' id='channel-tooltip'></i>\n</div>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Date</dt>\n<dd>2019</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<i aria-hidden='true' class='fai fa-solid fa-language'></i>\n<dt>Language</dt><dd>English</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Audiences</dt><dd><span><a href=\"/search?audience_ids%5B%5D=371079&amp;grade_ids%5B%5D=259&amp;grade_ids%5B%5D=258&amp;search_tab_id=1\">For Teacher Use</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>2 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Usage Permissions</dt><dd>Fine Print: Educational Use</dd>\n</dl>\n</div>\n</div>\n</div>\n<div aria-labelledby='additional-materials-heading' class='rp-info-section'>\n<h2 class='title' id='additional-materials-heading'>Additional Materials</h2>\n<div class='additional-material'>\n<i aria-hidden='true' class='fai fa-solid fa-lock'></i>\n<a class=\"text-muted\" title=\"Video Transcript\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Transcript</a>\n</div>\n<div class='additional-material'>\n<i aria-hidden='true' class='fai fa-solid fa-lock'></i>\n<a class=\"text-muted\" title=\"Video Preview\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Preview</a>\n</div>\n</div>\n<div aria-labelledby='concepts-heading' class='rp-info-section'>\n<h2 class='title' id='concepts-heading'>Concepts</h2>\n<div class='clearfix'>\n<div class='details-list concepts' data-identifier='Boclips::VideoDecorator630b58455f69c214af247028' data-type='concepts'>vectors, vector, magnitude, length, multiplication</div>\n<div class='concepts-toggle-buttons' data-identifier='Boclips::VideoDecorator630b58455f69c214af247028'>\n<button aria-expanded='false' class='more btn-link' type='button'>\n<span>Show More</span>\n<i aria-hidden='true' class='fa-solid fa-caret-down ml5'></i>\n</button>\n<button aria-expanded='true' class='less btn-link' style='display: none;' type='button'>\n<span>Show Less</span>\n<i aria-hidden='true' class='fa-solid fa-caret-up ml5'></i>\n</button>\n</div>\n</div>\n</div>\n<div aria-labelledby='additional-tags-heading' class='rp-info-section'>\n<h2 class='title' id='additional-tags-heading'>Additional Tags</h2>\n<div class='clearfix'>\n<div class='details-list keyterms' data-identifier='Boclips::VideoDecorator630b58455f69c214af247028' data-type='keyterms'>gcse, and, igcse, maths, lecture, videos, geometry, 9., 9.3, multiplying, multiply vector, lecture presentation, scale factor, top line, mx part, big vector, minus 2a, vector notation, opposite direction, line, part, minus, remember, subtracting, write, sort, answer, doubled, means, heading, direction, half, point, grid, calculate</div>\n<div class='keyterms-toggle-buttons' data-identifier='Boclips::VideoDecorator630b58455f69c214af247028'>\n<button aria-expanded='false' class='more btn-link' type='button'>\n<span>Show More</span>\n<i aria-hidden='true' class='fa-solid fa-caret-down ml5'></i>\n</button>\n<button aria-expanded='true' class='less btn-link' style='display: none;' type='button'>\n<span>Show Less</span>\n<i aria-hidden='true' class='fa-solid fa-caret-up ml5'></i>\n</button>\n</div>\n</div>\n</div>\n<div aria-labelledby='classroom-considerations-heading' class='rp-info-section'>\n<h2 class='title' id='classroom-considerations-heading'>Classroom Considerations</h2>\n<div class='classroom-considerations'><div class='fai fa-solid fa-bell'></div>Best For: Explaining a topic</div><div class='classroom-considerations'><div class='fai fa-solid fa-bell'></div>Video is ad-free</div> \n</div>\n<div aria-labelledby='educator-ratings-heading' class='rp-info-section'>\n<h2 class='title sr-only' id='educator-ratings-heading'>Educator Ratings</h2>\n<div id=\"educator-ratings-root\"></div><div id=\"all-educator-ratings-root\"></div><div id=\"educator-rating-form-root\"></div>\n</div>\n</div>\n<div class='rp-resource'>\n<div aria-label='Show resource details' class='rp-show-info' role='button' tabindex='0'>\n<i class='fai fa-solid fa-align-left'></i>\nShow resource details\n</div>\n<div aria-label='Video player' class='player' id='player-wrapper' role='region'>\n<div class='relative container mx-auto' id='lp-boclips-visitor-thumbnail'>\n<a class=\"block\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; 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