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R is the resultant of vectors A and B. If R=B/√2, then the value of theta is |
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Answer» Answer: B _ 45* EXPLANATION From the diagram, we have A + B =
Thus, R =A 2 +B 2 +2ABcosθ or, B 2 /2=A 2 +B 2 +2ABcosθ --- (1) Also, A is PERPENDICULAR to R
Thus, A .( A + B )=0 or, A 2 +ABcosθ=0 which GIVES, A=−Bcosθ Put this in (1) to get B 2 cos 2 θ+B 2 /2−2B 2 cos 2 θ=0 or, cos 2 θ=1/2 or cosθ= 2
1 , giving θ=45 0 |
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