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In: Advanced Math

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

Using definitions of dot product and cross product, show that dot product and cross product are distributive (a) If the three vectors 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 counter example.

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