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Vector A = 4 i +4 j + 6 k  have angles α, β, θ with axis x, y, z respectively.   Write magnitude A = ? Calculate α, β, A = (4.4+4.4+6.6)1/2  A = 8.2 α = cos-1 Ax/A = cos-1 4/8.2 = 60.9O β = cos-1 Ay/A = cos-1 4/8.2 = 60.9O θ = cos-1 Az/A = cos-1 6/8.2 = 43.3O cos2 α + cos2 β + cos2 θ =

Vector A = 4 i +4 j + 6 k  have angles α, β, θ with axis x, y, z respectively.   Write magnitude A = ? Calculate α, β, A = (4.4+4.4+6.6)1/2  A = 8.2 α = cos-1 Ax/A = cos-1 4/8.2 = 60.9O β = cos-1 Ay/A = cos-1 4/8.2 = 60.9O θ = cos-1 Az/A = cos-1 6/8.2 = 43.3O cos2 α + cos2 β + cos2 θ =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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  1. Vector A = 4 i +4 j + 6 k  have angles α, β, θ with axis x, y, z respectively.

 

Write magnitude A = ?

Calculate α, β,

A = (4.4+4.4+6.6)1/2  A = 8.2

α = cos-1 Ax/A = cos-1 4/8.2 = 60.9O

β = cos-1 Ay/A = cos-1 4/8.2 = 60.9O

θ = cos-1 Az/A = cos-1 6/8.2 = 43.3O

cos2 α + cos2 β + cos2 θ =

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