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If |A×B| = (A.B) , then what is the value of |A+B|.

If  |A×B| =  (A.B) , then what is the value of |A+B|.  

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
Dear Ravi
 

|A×B|/A.B=√3

=> ABsin x / ABcos x= √3 (Considering the angle between the two vectors as x)

=> tanx =√3

=> x= π/3

=> |A+B|=√(A^2 + B^2 +2AB cos x)

=> |A+B|=√(A^2 + B^2 +2AB* 1/2) [Since cos π÷3 = 1/2]

=> |A+B|=√(A^2 + B^2 + AB)

 

Regards

Arun (askIITians forum expert)

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