JEE Main 2024MathematicsVector AlgebraMediumMCQ

JEE Main 2024 — Vector Algebra Question with Solution

JEE Main 2024 (30 Jan Shift 2)

Question

Let a→ and b→ be two vectors such that |b→|=1 and |b→×a→|=2 Then |(b→×a→)-b→|2 is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B5

Step-by-step explanation

Given: b→=1, b→×a→=2

Now, solving b→×a→-b→2,

⇒b→×a→-b→2=b→×a→2+b→2-2b→×a→·b→

Now, we know that, b→×a→·b→=b→×a→·a→=0

⇒b→×a→-b→2=22+12-2×0

⇒b→×a→-b→2=5

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About this question

This is a previous-year question from JEE Main 2024, 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.