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 =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 35E
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Question
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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