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Point A is located at ( 9i+3j+4k)m, point B is located at ( 6i-7j+2k)m. The force on a thin wire from A to B is 500 Ib. What are the magnitude of the force parallel and Perpendicular to an axis line...

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Point A is located at ( 9i+3j+4k)m, point B is located at ( 6i-7j+2k)m. The force on a thin wire from A to B is 500 Ib. What are the magnitude of the force parallel and Perpendicular to an axis line that starts at the origin and goes to the point C ( -2i+7j+3k)m ?
Answered Same Day Dec 22, 2021

Solution

Robert answered on Dec 22 2021
122 Votes
A = 9i+3j+4k
B= 6i-7j+2k
⃗⃗⃗⃗ ⃗= -3i-10j-2k = B-A
Similarly vector ⃗⃗⃗⃗ ⃗ = -21+7j+3k
Unit vectors 0f
⃗⃗⃗⃗ ⃗=> (-3i-10j-2k)/(113)0.5
⃗⃗⃗⃗ ⃗= > (-2i+7j+3k)/(62)0.5
Component of force from A to B parallel to ⃗⃗⃗⃗ ⃗ is given by dot product of unit vectors multiplied by...
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