How would you find the unit vector along the line joining point (2, 4, 4) to point (-3, 2, 2)?
If point P is (2,4,4) and Q is (-3,2,2), the vector PQ would be (-5,-2,-2). To find the unit vector, divide vector PQ by its magnitude.
Please see the explanation.
Given the points
You make a vector in the direction from one point to another by subtracting each starting coordinate from its respective ending coordinate:
To make it a unit vector,
Therefore the general form for a unit vector is:
For the given points
Compute the magnitude
We need to divide which it the same as multiplying by the reciprocal,
Substitute into the unit vector general form: