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For any two vectors A and B, if A.B=|A x B|, the magnitude of C=A+B is

For any two vectors A and B, if A.B=|A x B|, the magnitude of C=A+B is

Grade:12th pass

1 Answers

Vikas TU
14149 Points
2 years ago
Dear student 
Given A.B= |A X B|
implies |A||B| cos x =|A||B|sin x
x being angle between vectors A and B
implies cos x = sin x
implies x=45˚
Hence |C|=√(A^2 + B^2 + 2AB cos x)
cos x = √1/2
|C|=√(A^2 + B^2 + √2AB)

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