JEE Main 2017MathematicsVector AlgebraEasyMCQ

JEE Main 2017 — Vector Algebra Question with Solution

JEE Main 2017 (08 Apr Online)

Question

The area (in sq. units) of the parallelogram whose diagonals are along the vectors 8i^-6j^ and 3i^+4j^-12k^, is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B65

Step-by-step explanation

Let the given diagonals be d 1 → and d 2 → , then

d1×d2=i^j^k^8-6034-12

=72i^--96j^+50k^

d1×d2=722+-962+502=5184+9216+2500

d2×d2= 16900=130

Area=12d1×d2=12×130

=65

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About this question

This is a previous-year question from JEE Main 2017, 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.