Question

What is the component form of the vector represented by 8a when a=(-4,2)

Answer 1

Given the vector represented by:

`8a`

You know that:

`a\langle-4,2\rangle`

By definition, the Component Form of a vector is:

`\vec{V}=\langle x,y\rangle`

In this case, you only need to multiply the coordinates of "a" by 8, in order to find the Component Form of:

`8a`

Therefore, you get:

`=\langle(8)(-4),(8)(2)\rangle=\langle-32,16\rangle`

Hence, the answer is:

`\langle-32,16\rangle`