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Using definitions of dot product and cross product, show that dot product and cross product are...

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Advance Math

Using definitions of dot product and cross product, show thatdot product and cross product are distributive (a) If the threevectors are coplanar. (b) in general.

also,

Is the cross product of two vectors associative i.e. A × (B × C) = (A × B ) × C ? If so prove it. If not provide a counterexample.

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