Question

u and v are position vectors with terminal points at (-1, 5) and (2, 7), respectively. Find the terminal point of -2u + v.

Answer 1

Answer: (4, -3)

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Work Shown

We'll be using these vector properties

• Rule 1: (a,b) + (c,d) = (a+c, b+d)
• Rule 2: k*(a,b) = (k*a, k*b)

To get the following

-2u + v = -2*(-1, 5) + (2,7)

-2u + v = (-2*(-1), -2*5) + (2,7) .... apply rule 2

-2u + v = (2, -10) + (2, 7)

-2u + v = (2+2, -10+7) .... use rule 1

-2u + v = (4, -3)