Find the direction cosines of the vector (4,-8,-8) 8 8 O cosa = 4 12 cosß cosy= 12 12 8 cosa = √12 cosa = cosa = cosa = O 4 √12 4 √20 4 √15 8 cosp 15 = cosß cosß cosß = - = 8 √20 8 √15 cosy 8 15 cosy cosy = 2 cosy = 8 12 8 4 8 √20 15

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 32EQ
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Find the direction cosines of the vector (4,-8,-8)
4
8
8
cosa =
cosß = -
Cosy ==
12
12
12
8
cosa =
cosp
. Cosy
cosa =
cosa =
Cosa = -
2
4
√12
4
20
4
√15
Þ
8
15
EM
cosß
cosß ==
12
8
√20
8
√15
cosß = Em
8
. Cosy
cosy =-.
Cosy
=
15
8
√12
==
8
8
√20
15
4
15
Transcribed Image Text:Find the direction cosines of the vector (4,-8,-8) 4 8 8 cosa = cosß = - Cosy == 12 12 12 8 cosa = cosp . Cosy cosa = cosa = Cosa = - 2 4 √12 4 20 4 √15 Þ 8 15 EM cosß cosß == 12 8 √20 8 √15 cosß = Em 8 . Cosy cosy =-. Cosy = 15 8 √12 == 8 8 √20 15 4 15
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