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how would i find these vectors?
For u=(26,6,−21) and v=(−18,−6,12), find the vectors u1 and u2 such that:
(i) u1 is parallel to v
(ii) u2 is orthogonal to v
(iii) u = u1 + u2
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- ted sLv 71 decade agoFavorite Answer
(i) implies that u1 = a v, for some constant " a " , from (iii) u 'dot' v = a |v|², since from (ii) u2 ' dot' v = 0, ...thus a = -756 / 504---> u2 = u - u1 = <26,6,-21> + [756/504] < -18 , -6, 12 >
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