Let a , b , c be three non-coplanar vectors such that a b = 4 c , b c = 9 a and c a = b , > 0. If | a | + | b | + | c | = 1/36, then is equal _____ .

JEE Main 2022 Mathematics question

Let , , be three non-coplanar vectors such that , and , . If , then is equal .

Answer: 0

Since the cross products are perpendicular to both vectors, . Taking magnitudes: , and . Multiplying the three, \vec{a}\vec{b}\vec{c}$|

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Question ID VK-034355