Find the vector C of magnitude c that is perpendicular to vectors A=a1i + a2j + a3k and B=b1i + b2j + b3k
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Expert's answer
2022-04-07T12:26:33-0400
It is not stated anything regarding the magnitude of a vector. We assume that the vector is a cross product of vectors A and B. The cross product is perpendicular to both vectors. Namely, we have C=∣∣ia1b1ja2b2ka3b3∣∣=∣∣a2b2a3b3∣∣i−∣∣a1b1a3b3∣∣j+∣∣a1b1a2b2∣∣k
The magnitude is ∣C∣=(∣∣a2b2a3b3∣∣)2+(∣∣a1b1a3b3∣∣)2+(∣∣a1b1a2b2∣∣)2
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