JEE Main 2026 — Vector Algebra Question with Solution
JEE Main 2026 (04 April Shift 2)
Question
Let and be unit vectors inclined at an acute angle such that . If , then is equal to:
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given and are unit vectors.
Since the angle is acute, .
Given .
Taking the dot product with :
Taking the dot product with :
From the first equation, we have .
Substituting this into the second equation:
Answer:
Since the angle is acute, .
Given .
Taking the dot product with :
Taking the dot product with :
From the first equation, we have .
Substituting this into the second equation:
Answer:
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This is a previous-year question from JEE Main 2026, 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.