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Under what condition the sum and difference of two vectors will be equal in magnitude ? |
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Answer» Solution :`|VEC(A) + vec(B)| = |vec(A) - vec(B)|` Squaring both sides `A^(2) + B^(2) + 2vec(A) * vec(B) = A^(2) - 2vec(A) * vec(B) + B^(2)` `4 vec(A) * vec(B) = 0 (or)` `vec(A) * vec(B) = 0i.e., vec(A) bot vec(B)` THUS , when the two vectors are equal in magnitude and perpendicular to each other. then the SUM and DIFFERENCE of two vectors will be equal in magnitude . |
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