JEE Main 2022MathematicsVector AlgebraMediumMCQ

JEE Main 2022 — Vector Algebra Question with Solution

JEE Main 2022 (26 Jun Shift 1)

Question

If a→·b→=1,b→·c→=2 and c→·a→=3, then the value of a→×b→×c→   b→×c→×a→   c→×b→×a→ is

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Show full solutionCorrect option: A
Correct answer
A0

Step-by-step explanation

We know that

a→×b→×c→, b→×c→×a→ and c→×a→×b→ are all coplanar as a→×b→×c→+ b→×c→×a→+c→×a→×b→=0→.

Also, the scalar triple product of 3 vectors which are coplanar is 0.

Hence,  a→×b→×c→  b→×c→×a→  c→×a→×b→=0

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About this question

This is a previous-year question from JEE Main 2022, covering the Vector Algebra chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.