(a) L is the line with equations x =1+2t, y=2+3t, z=3+t. P is the point (2, 3, 2). Find the coordinates of the point Q which lies on L and is closest to P. Q equals ( (b) H is the plane with equation 3x – y + 2z =0. Pis the point (2, 3, 2). Find the coordinates of the point R which lies on H and is closest to P. R equals (

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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(a) L is the line with equations x =1+2t, y=2+3t, z=3+t. P is the point (2, 3, 2). Find the coordinates of the point Q which lies on L and is closest to P.
Q equals (
(b) H is the plane with equation 3x - y + 2z =0. P is the point (2, 3, 2). Find the coordinates of the point R which lies on H and is closest to P.
R equals (
).
Transcribed Image Text:(a) L is the line with equations x =1+2t, y=2+3t, z=3+t. P is the point (2, 3, 2). Find the coordinates of the point Q which lies on L and is closest to P. Q equals ( (b) H is the plane with equation 3x - y + 2z =0. P is the point (2, 3, 2). Find the coordinates of the point R which lies on H and is closest to P. R equals ( ).
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