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Draw the following:vec (AB)...

Draw the following:`vec (AB)`

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In the figure vec(AB)||vec(CD) and vec(XY) is a transversal which of the following is incorrect?

Assertion (A): Let vec(a) = a_(1) vec(i) + a_(2) vec(j) + a_(3) vec(k) . Then identity |vec(a) xx vec(i)|^(2) + |vec(a) xx vec(j)|^(2) + |vec(a) xx vec(k)|^(2) =2|vec(a)|^(2) holds for vec(a) . Reason (R ): vec(a) xx vec(i) = a_(3) vec(j)- a_(2) vec(k), vec(a) xx vec(j) = a_(1) vec(k) - a_(3) vec(i), vec(a) xx vec(k)= a_(2) vec(i) - a_(1) vec(j) Which of the following is correct ?