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

Answer:

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

Step-by-step explanation:

Given:

${\bf u} = {}\\{\bf v} = \\{\bf w} =$

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 $\bf{u}-\bf{v}$.