Physics, asked by daina2002, 8 months ago

show that the magnitude of the resulting of two vectors A and B lies in between A+B and A-B or B-A​

Answers

Answered by Anonymous
1

Explanation:

Take two vectors a and b and complete the parallelogram. Let its area be Δ1 . Now Draw vectors a+b and a-b and using them as adjacent sides complete their parallelogram. Let its area be Δ2.

It is not difficult to see/prove Δ2=2Δ1 .

Hence (a-b) X (a+b)= 2(a X b) (Why?)

Result will remain same if a and b are collinear vectors.

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