# Lecture 2 - Components of a vector Parallel to a Line •...

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ectors in 3- Vectors in 3 D When dealing in three dimensions, a vector can be written in terms of 3 components. How can we describe a vector in 3 D (magnitude and direction)? 1) Direction cosines / direction angles 2) Double projection 3) Find a parallel line

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irection Angles and Cosines Direction Angles and Cosines x θ or α y or β
irection Angles and Cosines Direction Angles and Cosines z θ or γ There is a relationship between the direction cosines… 1 cos cos cos 2 2 2 = + + β α

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ouble Projection Double Projection y U x z
ouble Projection Double Projection y U x U y j z

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ouble Projection Double Projection y U x U z k z U x i
osition Vectors Position Vectors

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omponents of a vector Parallel to a Line

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Unformatted text preview: Components of a vector Parallel to a Line • Ex. When want to express a force in vector form (components), but we only know the magnitude of the force. We can get the orientation of the force from the arallel line parallel line. y Express the force acting on the wall at A in terms of its components. A 3’ T =1.2 kips x B 4’ 9’ 1’ 16’ z y Find the resultant force (magnitude and direction) given the three-dimensional system below. 60 o 60 o 1000N 500N x 30 o 25 o 45 o 45 o 20 o 650N 150N 700N z...
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Lecture 2 - Components of a vector Parallel to a Line •...

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