Question

Position vectors u and v have terminal points of (4, -2) and (-6, -3), respectively. Match each of the following with the resulting terminal point.

1. -u (-4, 2)
2. 1/3v (2, 5)
3. u - v (10, 1)
4. -2v (12, 6)
5. -v - u (-2, -1)

Answer 1

ok, for 1, the length will be the same, but it will be in the opposite direction, so the terminal point will be the opposite of U's

for 2, it will be the same direction of V but 1/3 of the length, so the terminal point will be 1/3 of V's

for 3, the terminal point will be the same as U's subtracted by V's terminal point.

for 4, the length of the vector is doubled and it is in the opposite direction, so the terminal point will be 2 times the opposite of V's terminal point.

for 5, the opposites of the vectors will be added, so the terminal point will be the sum of the opposites of the two terminal points.

Answer 2

thank you @thefurball