I'm given two vectors: F=9i+12j, V=3i+4j. I am asked to give the component of F parallel to V, the component of F perpendicular to V and the work done by force F through displacement V.

Any help?

Peter

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- Nov 9th 2010, 08:07 PMflybynightVector Projections
I'm given two vectors: F=9i+12j, V=3i+4j. I am asked to give the component of F parallel to V, the component of F perpendicular to V and the work done by force F through displacement V.

Any help?

Peter - Nov 18th 2010, 08:56 AMUnknown008
Well you can express F as:

$\displaystyle \vec{F} = 3(3i + 4j)$

Meaning that F is parallel to V.

Find the magnitude of F (using the Pythagoras' Theorem) this will be the parallel component.

The perpendicular component will be 0 since the two vectors are parallel.

Work Done = Force x Displacement.

Find the magnitude of the displacemnt V and you already have the force F, which is the parallel component of F to V. - Nov 18th 2010, 09:07 AMPlato