3. Find the unit vector that has the same direction as the vector perpendic- (4, -1, 3) and b= (-2,1, 2 Jca) 9,6) (C1, C2, C3) perpendicular to a and b ular to a = 3, Solution: Let c =

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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3. Find the unit vector that has the same direction as the vector perpendic-
ular to a = (4, -1,3) and b = (-2, 12 Ja)
B Solution: Let c = (c1, c2, C3) perpendicular to a and b
= 4c1 – c + 3c3 = 0
b.c = -2c1 + c2 - 2c3 = 0
= C3 = -2c1 and C2 = -2c1
— с %3D (с1, -2с1, - 2с1) - с1 (1,-2, -2)
а с 3
Transcribed Image Text:3. Find the unit vector that has the same direction as the vector perpendic- ular to a = (4, -1,3) and b = (-2, 12 Ja) B Solution: Let c = (c1, c2, C3) perpendicular to a and b = 4c1 – c + 3c3 = 0 b.c = -2c1 + c2 - 2c3 = 0 = C3 = -2c1 and C2 = -2c1 — с %3D (с1, -2с1, - 2с1) - с1 (1,-2, -2) а с 3
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