2. Let P be the point (-3, 5, 4). (b) Find the distance from the point P to the yz-plane. Find the distance from the point P to the y-axis.

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...
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## Problem 2

Let \( P \) be the point \((-3, 5, 4)\).

### (a)
Find the distance from the point \( P \) to the \( yz \)-plane.

### (b)
Find the distance from the point \( P \) to the \( y \)-axis.

---

Note: This problem involves calculating the perpendicular distance from a point in three-dimensional space to various planes and axes. To find the distance from a point to the \( yz \)-plane, consider the absolute value of the x-coordinate of the point. Similarly, for the distance to the \( y \)-axis, use the perpendicular distance formula considering both the x and z-coordinates.
Transcribed Image Text:## Problem 2 Let \( P \) be the point \((-3, 5, 4)\). ### (a) Find the distance from the point \( P \) to the \( yz \)-plane. ### (b) Find the distance from the point \( P \) to the \( y \)-axis. --- Note: This problem involves calculating the perpendicular distance from a point in three-dimensional space to various planes and axes. To find the distance from a point to the \( yz \)-plane, consider the absolute value of the x-coordinate of the point. Similarly, for the distance to the \( y \)-axis, use the perpendicular distance formula considering both the x and z-coordinates.
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