the cross product of the vectors and i + j and J + K is
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what is the value of theta
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(These properties mean that the cross product is linear.) We can use these properties, along with the cross product of the standard unit vectors, to write the formula for the cross product in terms of components. Since we know that i×i=0=j×j and that i×j=k=−j×i, this quickly simplifies to a×b=(a1b2−a2b1)k=|a1a2b1b2|k
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