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If vecaxxvecb = vecbxxvecc ne vec0, prove that veca+vecc = mvecb, where m is a scalar. |
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Answer» Solution :`vecaxxvecb = VECBXXVECC ne VEC0` `implies vecaxxvecb-vecbxxvecc = vec0` `impliesvecaxxvecb+veccxxvecb = vec0[because vecbxxvecc = -veccxxvecb]` `implies (veca+vecc)xxvecb = vec0` `implies veca+vecc` is PARALLEL to `vecb` `implies veca+vecc = mvecb` for some SCALAR m.(Proved) |
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