SOLUTION: Find the vector v with initial point P and terminal point Q. P(6, −1, 0), Q(0, −2, 3)

Algebra ->  Trigonometry-basics -> SOLUTION: Find the vector v with initial point P and terminal point Q. P(6, −1, 0), Q(0, −2, 3)      Log On


   

Question 1206881: Find the vector v with initial point P and terminal point Q.
P(6, −1, 0), Q(0, −2, 3)
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vector v with initial point P and terminal point+Q.
P%286%2C+-1%2C+0%29, Q%280%2C+-2%2C+3%29
To find the vector in component form given the initial and terminal points, simply subtract the initial point from the terminal point.

v=(0-6, -2-%28-1%29,3-0)
v=(-6,-1,3)

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Subtract the coordinates in the form Q - P
Qx - Px = 0 - 6 = -6
Qy - Py = -2 - (-1) = -1
Qz - Pz = 3 - 0 = 3

Answer: < -6, -1, 3 >

This basically says: "To get from P to Q we move 6 units in the negative x direction, 1 unit in the negative y direction, and 3 units in the positive z direction".