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JEE Main 2022 — Mathematics in Physics Question with Solution

JEE Main 2022 (28 Jul Shift 1)

Question

If the projection of 2i^+4j^-2k^ on i^+2j^+αk^ is zero. Then, the value of α will be

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Show full solutionCorrect answer: 5
Correct answer
5

Step-by-step explanation

Given here:

a→=2i^+4j^-2k^ and b→=i^+2j^+αk^

Now, a→·b→=0, as a→ should be perpendicular to b→.

∴  2×1+4×2-2×α=0 

∴  α=5

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About this question

This is a previous-year question from JEE Main 2022, 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.