# ch2_7lecture - Y A j Z B – Z A k}m Please note that B is...

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Today’s Objectives : Students will be able to : a) Represent a position vector in Cartesian coordinate form, from given geometry. b) Represent a force vector directed along a line.

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Wing strut APPLICATIONS How can we represent the force along the wing strut in a 3-D Cartesian vector form?
POSITION VECTOR A position vector is defined as a fixed vector that locates a point in space relative to another point. Consider two points, A & B, in 3-D space. Let their coordinates be (X A , Y A , Z A ) and ( X B , Y B , Z B ), respectively. The position vector directed from A to B , r AB , is defined as r AB = {( X B X A ) i + ( Y B

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Unformatted text preview: Y A ) j + ( Z B – Z A ) k }m Please note that B is the ending point and A is the starting point. So ALWAYS subtract the “tail” coordinates from the “tip” coordinates! FORCE VECTOR DIRECTED ALONG A LINE (Section 2.8) If a force is directed along a line, then we can represent the force vector in Cartesian Coordinates by using a unit vector and the force magnitude. So we need to: a) Find the position vector, r AB , along two points on that line. b) Find the unit vector describing the line’s direction, u AB = ( r AB /r AB ). c) Multiply the unit vector by the magnitude of the force, F = F u AB ....
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ch2_7lecture - Y A j Z B – Z A k}m Please note that B is...

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