Question

If the vector below is multiplied by 2, what will be its end point?

A. (4, -1)
B. (4, -2)
C. (2, 2)
D. (2, -2)

Answer 1

B. (4, -2) duble each component

Answer 2

Answer: B. (4, -2)

Explanation:

The vector shown in the image is (2, -1)

Now, the scalar multiplication for vectors works in the next way:

for a scalar c and a vector (x,y)

c*(x,y) = (c*x, c*y)

In our case, the scalar is 2, and the vector is (2, -1)

2*(2, - 1) = (2*2, -1*2) = (4, -2)

Then the correct option is the option B.