JEE Main 2014MathematicsVector AlgebraMediumMCQ

JEE Main 2014 — Vector Algebra Question with Solution

JEE Main 2014 (06 Apr)

Question

If a→×b→  b  →×c→  c  →×a→=λ a→   b →   c →2 then λ is equal to 

Choose an option

Show full solutionCorrect option: B
Correct answer
B1

Step-by-step explanation

a→×b→b→×c→c→×a→=λa→b→c→2

a→×b→b→×c→c→×a→ =a→×b→×b→×c→.c→×a→

=a→b→c→b→-a→b→b→c→·c→×a→

=a→b→c→b→. c→×a→       ∵a→b→b→=0

=a→b→c→b→c→a→

=a→b→c→[a→b→c→]

=a→b→c→2

∴ λ = 1.

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About this question

This is a previous-year question from JEE Main 2014, 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.