Question

If u = <2, -5>, v = <3, -2>, and w = <5, -3>, which operation is represented by this graph?

Answer 1

The answer is B

Because of the equation

I did

Answer 2

B. The operation
`\bf{u}-\bf{v}` is the correct answer.

Explanation:

Given:

`{\bf u} = {<2, -5>}\\{\bf v} = <3, -2>\\{\bf w} = <5, -3>`

From the graph, we know that the vector is
`\langle -1,-3 \rangle`.

A. The operation
`-\bf{v}-\bf{u}` is equal to

`-\langle3,-2\rangle-\langle 2,-5\rangle\\\langle-3,2\rangle-\langle 2,-5\rangle\\\langle -3-2,2+5 \rangle\\\langle-5,7\rangle`

B. The operation
`\bf{u}-\bf{v}` is equal to

`\langle2,-5\rangle-\langle 3,-2\rangle\\\langle 2-3,-5+2 \rangle\\\langle-1,-3\rangle`

C. The operation
`2\bf{w}-\bf{u}` is equal to

`2\langle5,-3\rangle-\langle 2,-5\rangle\\\langle 10,-6 \rangle-\langle 2,-5 \rangle\\\langle 10-2,-6+5 \rangle\\\langle8,-1\rangle`

D. The operation
`-2\bf{u}` is equal to

`-2\langle 2,-5\rangle\\\langle -2,10\rangle`

Therefore, the operation that gives us the vector
`\langle -1,-3 \rangle` is
`\bf{u}-\bf{v}`.