Question

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?

Answer 1

Answer= c

In this case you've got to place the vector from the origin, so you have to get the difference from both points (x2-x1) and (y2-y1)

So you get that the vector from the origin is (18,-7)

Know you know the vector v is three times the vector u, so you multiply three times the vertex, but remember the vector v goes int he opposite direction, so the vector v from origin the the terminal point is (-54, 21)