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If A and B are two vectors then A.(AXB) is |
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Answer» tion:Two vectors A and B.A and B are two vectors. So, their sum A+B lies in the same plane where A and B lie (Since they are non -parallel so they DEFINE a plane and the cross product between them is not zero.)A×B=∣A∣∣B∣sinαn, where α is the angle between A & B and n is the UNIT VECTOR perpendicular to the plane CONTAINING A & B. So, the angle between (A+B) and (A×B) is 90 0 .Mathematically,∣A+B∣∣A×B∣cosα=(A+B).(A×B)=A.(A×B)+B.(A×B)=B.(A×A)+A.(B×B)=0+0 |
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