Find the distance from the poinst (-5, 2, -3) to the az-plane.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
1.
Find the distance from the poinst (-5, 2, -3) to the az-plane.
Transcribed Image Text:1. Find the distance from the poinst (-5, 2, -3) to the az-plane.
Expert Solution
Step 1: We are using the formula

To find the distance from a point to the xz-plane, we are using the formula for the distance between a point and a plane.

The xz-plane is defined by the equation y=0.

The formula for the distance d between a point (x0,y0,z0) and a plane with equation Ax+By+Cz+D=0 is given by

d=|Ax0+By0+Cz0+D|A2+B2+C2



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