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In parallelogram , if one diagonal gives the sum of vectors , what does the other diagonal will be ? |
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Answer» Let θ be the ANGLE between a & b The long DIAGONAL of the parallelogram is the VECTOR sum of two SIDES and short diagonal is vector difference of two sides.Given... d 1 = a + b , d 2 = a − b d 12 =a 2 +b 2 +2abcosθd 22 =a 2 +b 2 −2abcosθd 12 +d 22 =2(a 2 +b 2 )a 2 +b 2 =(d 12 +d 22 )/2 |
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