Find the direction cosines of the vector <4, 8, 8) 4 8 8 COST COSB 12 COST 12 12 4 8 8 Cosa COSB √12 - Cosy = 12 √12 4 8 Cosa 8 cosẞ = √20 cosy = 20 √20 4 8 8 cosB √15 - COST Cosy = √15 15 8 8 4 √15 cosẞ = COST √15 15 Determine which of the following pairs of vectors are neither parallel nor orthogonal. a = (6, 1), b = (9,-3) a = (6,0, 3), b = (0, -7,0> a = (1, 2,0), b = (2,-1, 10) a = -5i +2j, b = 20i-8j a = i+3k, b = 34i +102k

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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Find the direction cosines of the vector
<4, 8, 8)
4
8
8
COST
COSB
12
COST
12
12
4
8
8
Cosa
COSB
√12
- Cosy =
12
√12
4
8
Cosa
8
cosẞ =
√20
cosy =
20
√20
4
8
8
cosB
√15
- COST
Cosy =
√15
15
8
8
4
√15
cosẞ =
COST
√15
15
Transcribed Image Text:Find the direction cosines of the vector <4, 8, 8) 4 8 8 COST COSB 12 COST 12 12 4 8 8 Cosa COSB √12 - Cosy = 12 √12 4 8 Cosa 8 cosẞ = √20 cosy = 20 √20 4 8 8 cosB √15 - COST Cosy = √15 15 8 8 4 √15 cosẞ = COST √15 15
Determine which of the following pairs of vectors are neither parallel nor orthogonal.
a = (6, 1), b = (9,-3)
a = (6,0, 3), b = (0, -7,0>
a = (1, 2,0), b = (2,-1, 10)
a = -5i +2j, b = 20i-8j
a = i+3k, b = 34i +102k
Transcribed Image Text:Determine which of the following pairs of vectors are neither parallel nor orthogonal. a = (6, 1), b = (9,-3) a = (6,0, 3), b = (0, -7,0> a = (1, 2,0), b = (2,-1, 10) a = -5i +2j, b = 20i-8j a = i+3k, b = 34i +102k
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