Question

What is the distance from (3 1/2, 5) to (3 1/2, –12)?

Answer 1

17

Explanation:

First label the 2 points.

A = (3, 1/2, 5), B = (3, 1/2, -12)

Then calculate the vector from A to B:

`\vect{AB} = (0, 0, -17)`

And then calculate it's length by the formula:

`||\vect{a}|| = √(x^2 + y^2 + z^2)`, where x, y, z are the coordinates related to the vector.

`||\vect{AB}|| = √(0^2 + 0^2 + (-17)^2) = √((-17)^2) = |17| = 17`

Answer 2

0, 17

3 1/2, 5

-3 1/2, -12

0, 17