Determine the magnitude and the direction cosines of a displacement which as x , y, and z component of 11 ft, 1 ft, and - 7 ft respectively. Magnitude is 13.076 ft, COS a = 32.729 cos B = 85.613 and cos y = 122.366

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Calculate the magnitude of the resultant.

∣∣R∣∣=112+11+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√     =13.076 ftR=112+11+-72     =13.076 ft

Calculate the value of cosine angle along x-direction.

cosα=1113.076    α=32.73°cosα=1113.076    α=32.73° (incorrect)

Calculate the value of cosine angle along y-direction.

cosβ=113.076    β=85.61°cosβ=113.076    β=85.61° (incorrect)

Calculate the value of cosine angle along z-direction.

cosγ=−713.076    γ=122.4° (incorrect)

 

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Determine the magnitude and the direction cosines of a displacement which as x , y, and z component of
11 ft, 1 ft, and – 7 ft respectively.
Magnitude is 13.076
o ft ,
COS a =
32.729
cos B :
85.613
and cos y =
122.366
Transcribed Image Text:Determine the magnitude and the direction cosines of a displacement which as x , y, and z component of 11 ft, 1 ft, and – 7 ft respectively. Magnitude is 13.076 o ft , COS a = 32.729 cos B : 85.613 and cos y = 122.366
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