JEE Main 2023PhysicsMathematics in PhysicsEasyNumerical

JEE Main 2023 — Mathematics in Physics Question with Solution

JEE Main 2023 (25 Jan Shift 1)

Question

If P→=3i^+3j^+2k^ and Q→=4i^+3j^+2.5k^  then, the unit vector in the direction of P→×Q→ is 1x(3i^+j^-23k^). The value of x is

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Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

Unit vector in the direction of P→×Q→ is n^=P→×Q→|P→×Q→|.

Here, P→×Q→=i^j^k^332432.5=3i^2+j^2-3k^

And P→×Q→=322+122+32=4=2

⇒P→×Q→|P→×Q→|=123i^2+j^2-3k^

=14(3i^+j^-23k^)  ⇒x=4

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About this question

This is a previous-year question from JEE Main 2023, covering the Mathematics in Physics chapter of Physics. 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.