Select the correct answer.
if vector u = < 2.5, -4> and vector v= < -2,4> , which graph shows the resulting vector for v - 2u?

A

Step-by-step explanation:

v - 2u

= < - 2, 4 > - 2 < 2.5, - 4 > ← multiply each component by 2

= < - 2, 4 > - < 5, - 8 > ← subtract corresponding components

= < - 2 - 5, 4 + 8 > = < - 7, 12 >

Graph A shows the resulting vector

Graph A

Step-by-step explanation:

Hi, to answer this we have to solve the expression.

u = <2.5, -4>  

v= <-2,4>

v - 2u = <-2,4>- 2<2.5, -4>  

v - 2u = <-2,4>- <5, -8>  

v - 2u = <-7,12>

Correct option is A.

For the graph , we have to move 7 places to the left in the x axis (negative), go up in the y axis by 12 units, and connect that point with the (0,0).

Feel free to ask for more if needed or if you did not understand something.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .