Let x, y and z be three vectors each of magnitude 2 and the angle between each pair of them is 3 . If a is a nonzero vector perpendicular to x and y z and b is a nonzero vector perpendicular to y and z x, then

JEE Advanced 2014 Mathematics question

Let , and be three vectors each of magnitude and the angle between each pair of them is . If is a nonzero vector perpendicular to and and is a nonzero vector perpendicular to and , then

(A)Correct
(B)Correct
(C)Correct
(D)

Answer: (A),(B),(C)

Solution

Each dot product between different vectors is , and each . means lies in the plane of : ; , so and $ a· y =

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Question ID VK-026291