Warmup on Vector Operations

Front

If u = <-2, 0>, find 3u.

Back

3u = <3 * -2, 3 * 0> = <-6, 0>

Front

Let a = <-2, 0> and b = <-4, -8>. Find a - b.

Back

a - b = <-2 - (-4), 0 - (-8)> = <2, 8>

Front

Given u = <3, 7> and v = <-5, 4>, find -u + v.

Back

-u + v = <-3, -7> + <-5, 4> = <-8, -3>

Front

Find the components of vector u, such that <5, 8> - u = <-2, 10>.

Back

u = <5, 8> - <-2, 10> = <7, -2>

Front

Find the components of a vector v such that v + <-6, 4> = <10, -3>.

Back

v = <10, -3> - <-6, 4> = <16, -7>

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction.

Front

How do you add two vectors?

Back

To add two vectors, add their corresponding components.

Front

What is the result of subtracting vector b from vector a?

Back

The result is a new vector with components calculated by subtracting the components of b from a.

Front

What does it mean to multiply a vector by a scalar?

Back

Multiplying a vector by a scalar changes its magnitude but not its direction.

Front

What is the zero vector?

Back

The zero vector is a vector with all components equal to zero, denoted as <0, 0>.