JEE Main 2022MathematicsVector AlgebraMediumMCQ

JEE Main 2022 — Vector Algebra Question with Solution

JEE Main 2022 (27 Jun Shift 1)

Question

Let a→=i^+j^-k^ and c→=2i^-3j^+2k^. Then the number of vectors b→ such that b→×c→=a→ and b→∈1,2,…,10 is

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Show full solutionCorrect option: A
Correct answer
A0

Step-by-step explanation

Given, a→=i+j-k and c→=2i-3j+2k

b→×c→=a→ and b→∈1,2……10

∵ b→×c→=a→

⇒ a→ is perpendicular to b→ as well as a→ is perpendicular to c→ , so a→·c→=0 as they are perpendicular.

Now checking a→·c→=2-3-2=-3≠0

This b→×c→=a→ is not possible.

So, number of vectors 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.