Answer to Question #166670 in Calculus for Pratik

Question

The ground floor of a school building rests on the 𝑥𝑦

xy-plane in ℝ

3

R3, and the entrance to the building is at the origin. Each step takes you one unit forward, unless you are climbing stairs, in which case a step takes you one unit forward and one unit upward.

You begin at the entrance of the school, facing in the direction of the positive 𝑥

x-axis. You take seven steps, turn to your left, take eight steps up a stairwell, turn to your left, and take four steps to reach your locker. Where is your locker?

Answer 1

positive 𝑥-axis. take seven steps x = 7

turn to your left, take eight steps up a stairwell z-axis 8 because of left and upward

 turn to your left, and take four steps to reach your locker y-axis -4 because of left

(7, -4, 8) - these is the coordinates of the locker