#Find the distance the point (4,-3,-2) and between the line given by: Y+2=7-4 X-3 = 2+²/² -5 Find the distance between the point (0, 6,-5) and the plane containing the points (4,2,-5) (-2,3,-1), and (3,1,0)

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
### Problem 1:
Find the distance between the point \((4, -3, -2)\) and the line given by:
\[
\frac{x-3}{3} = \frac{y+2}{-5} = z-4
\]

### Problem 2:
Find the distance between the point \((0, 6, -5)\) and the plane containing the points \((4, 2, -5)\), \((-2, 3, -1)\), and \((3, 1, 0)\).
Transcribed Image Text:### Problem 1: Find the distance between the point \((4, -3, -2)\) and the line given by: \[ \frac{x-3}{3} = \frac{y+2}{-5} = z-4 \] ### Problem 2: Find the distance between the point \((0, 6, -5)\) and the plane containing the points \((4, 2, -5)\), \((-2, 3, -1)\), and \((3, 1, 0)\).
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