Question

You are given the following points: A=(-6,17,15), B=(-20,0,-2)), C=(8,-12,-17)

a. Which point is closest to the yz-plane?

Answer 1

To determine the point closest to the yz-plane, calculate the distance of each point from the yz-plane by taking the absolute value of its x-coordinate. Point A (-6, 17, 15) is the closest to the yz-plane.

Step-by-step explanation:

To determine which point is closest to the yz-plane, we need to calculate the distance of each point from the yz-plane. The yz-plane is defined by a constant value of x=0. Therefore, we can calculate the distance of each point by taking the absolute value of its x-coordinate.

For point A (-6, 17, 15), the distance from the yz-plane is |-6| = 6.

For point B (-20, 0, -2), the distance from the yz-plane is |-20| = 20.

For point C (8, -12, -17), the distance from the yz-plane is |8| = 8.

Therefore, point A (-6, 17, 15) is the closest to the yz-plane.