Pupil outcome: I can solve geometric problems in 2D where vectors are divided in a given ratio. Key learning points: - A vector can be divided into parts using a ratio. - By converting the ratio to a fraction, you can express each part...

Pupil outcome: I can find the difference between vectors. Key learning points: - Vectors can be subtracted. - This can be done when the vectors are in column form. - Subtraction can be done when the vectors are drawn.

Pupil outcome: I can find the sum and difference with vectors written algebraically. Key learning points: - Addition and subtraction with vectors follows the algebraic manipulation rules you know. - Vectors that are like terms can be...

Pupil outcome: I can use my knowledge of vectors to solve problems. Key learning points: - Drawing a diagram can make things clearer. - Adding to an existing diagram can make things clearer. - It can be helpful to start with what you...

Pupil outcome: I can use my knowledge of vectors to solve problems. Key learning points: - Drawing a diagram can make things clearer. - Adding to an existing diagram can make things clearer. - It can be helpful to start with what you...

Pupil outcome: I can carry out arithmetic procedures on vectors written algebraically. Key learning points: - Priority of operations still apply. - Like terms can be collected. - The vectors can be sketched and the resultant shown.

Pupil outcome: I can carry out arithmetic procedures on vectors and draw the resultant vector. Key learning points: - More than one operation may be seen. - Priority of operations still apply. - Constructing all the vectors can help when...

Pupil outcome: I can represent information graphically given algebraic vector notation. Key learning points: - A letter can be used to represent a vector. - Each unique vector is assigned a unique letter.

This content defines torque for a particle moving along any trajectory relative to a fixed point, not just a fixed axis. It establishes torque as the vector cross product τ=r×F, explaining its direction using the right-hand rule and its...

Learn how to compute the cross product of two vectors, its direction using the right-hand rule, and how it represents the area of a parallelogram. Understand the vector product formula and apply it using i, j, k notation.

Learn the basics of vector physics, including how to add vectors and interpret their graphical representation. Understand the difference between scalar and vector quantities with real-world examples.

This video will discuss the effects of scalars on vectors.

Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...

In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...

Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.

How to solve a word problem using vectors

Word Problem vectors find the resultant vector

Now that we have dropped the ball into the bucket, we can determine the final velocity of the ball right before it strikes the bucket. Don't forget that velocity is a vector and has both magnitude and direction. Yep, component vector...

How to subtract two vectors with a scalars

Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...

Learn how to write a vector in component form when given the magnitude and direction. When given the magnitude (r) and the direction (theta) of a vector, the component form of the vector is given by r(cos(theta), sin(theta)).

Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...

Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.

Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.