JEE Main 2026 — Vector Algebra Question with Solution
JEE Main 2026 (06 April Shift 2)
Question
Let and . Then the square of the area of the triangle with adjacent sides determined by the vectors and is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The area of a triangle with adjacent sides and is given by .
Here, and .
Since , , and , we get:
The area of the triangle is .
Now, calculating :
The square of the magnitude is:
The square of the area of the triangle is:
Answer:
Here, and .
Since , , and , we get:
The area of the triangle is .
Now, calculating :
The square of the magnitude is:
The square of the area of the triangle is:
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.