Question

What is the midpoint between `M(7,−1,5)` and the origin?

Answer 1

The answer is `N(7/2,-1/2,5/2)`.

The midpoint is one of the easier things to calculate. Remember that mid is a synonym for average. To find the midpoint, we just average the components:

`M=((P_(1_x)+P_(2_x))/2, (P_(1_y)+P_(2_y))/2, (P_(1_z)+P_(2_z))/2)`

In your case, `P_1=M` and `P_2=(0,0,0)`. Recall that the coordinates for the origin are `(0,0,0)`.