If the vectors x i ^ - 3 j ^ + 7 k ^ and i ^ + y j ^ - z k ^ are collinear then the value of x y 2 z is equal

Question

If the vectors x i ^ - 3 j ^ + 7 k ^ and i ^ + y j ^ - z k ^ are collinear then the value of x y 2 z is equal, 9 7, - 9 7, - 7 9, 7 9

MARKS App · Accepted Answer

Given, vectors x i ^ - 3 j ^ + 7 k ^ and i ^ + y j ^ - z k ^ are collinear ∴ x 1 = - 3 y = 7 - z = k ⇒ x = k , - 3 = k y a n d 7 = - k z Now, x y 2 z = k - 3 k - 7 k = 9 k - 7 k = - 9 7

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