Answer:
-2u + w ⇒ answer B
Explanation:
* To solve this problem you must find the result from the graph
- The ray move from the origin 6 units to the left and then 1 unit up
∴ The result is <-6 , 1>
* Now lets check which answer give the same result
∵ u = <5 , -5> , v = <1 , -4> , w = <4 , -9>
# Answer A: w - 2v
∵ w = <4 , -9>
- Find 2v by multiply v by 2
∵ 2v = 2<1 , -4> = <2 , -8>
- Subtract 2v from w
∴ w - 2v = <4 , -9> - <2 , -8> = <(4 - 2) , (-9 - -8)> = <2 , -1> ≠ <-6 , 1>
# Answer B: -2u + w
∵ u = <5 , -5>
- Find -2u by multiply u by -2
∵ -2u = -2<5 , -5> = <-10 , 10>
- Add -2u and w
∵ w = <4 , -9>
∴ -2u + w = <-10 , 10> + <4 , -9> = <(-10 + 4) , (10 + -9)> = <-6 , 1> = <-6 , 1>
∴ The answer is B