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Engineering Mechanics | Derivative of a vector

November 6th, 2009 No comments

Derivative of a vector: After reviewing the vector algebra, we would now like to introduce you to the idea of differentiating a vector quantity. Here we take a vector clip_image001 as depending on one parameter, say time t , and evaluate the derivative clip_image002. This is similar to what we do for a regular function. We evaluate the vector clip_image003at time (t+ Δt) , subtract clip_image001[1] from it, divide the difference clip_image004 by Δt and then take the limit Δ t → 0 .

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Engineering Mechanics | Geometric interpretation of cross product

November 6th, 2009 No comments

Geometric interpretation of cross product : The magnitude of the cross-product clip_image001, which is equal to clip_image002, is the area of a parallelogram formed by vectors clip_image003. This is shown in figure.

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