# How would you find the unit vector along the line joining point (2, 4, 4) to point (-3, 2, 2)?

##### 2 Answers

#### Explanation:

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.

#### 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:

Simplify: