JEE Main 2012 — Vector Algebra Question with Solution
JEE Main 2012 (26 May Online)
Question
Statement 1: The vectors and lie in the same plane if and only if
Statement 2: The vectors and are perpendicular if and only if where is a vector perpendicular to the plane of and
Choose an option
Show full solutionCorrect option: C
Correct answer
CStatement 1 is true, Statement 2 is false.
Step-by-step explanation
Statement - 1
The vectors and lie in the same plane.
and are coplanar.
We know, the necessary and sufficient conditions for three vectors to be coplanar is that
i.e.
Hence, statement-1 is true.
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