Statement 1: The vectors a , b and c lie in the same plane if and only if a ⋅ ( b × c ) = 0 Statement 2: The vectors u and v are perpendicular if and only if u ⋅ v = 0 where u × v is a vector perpendi

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Statement 1: The vectors a , b and c lie in the same plane if and only if a ⋅ ( b × c ) = 0 Statement 2: The vectors u and v are perpendicular if and only if u ⋅ v = 0 where u × v is a vector perpendicular to the plane of u and v

TestHub · Accepted Answer

Statement - 1 The vectors a , b and c lie in the same plane. ⇒ a , b and c are coplanar. We know, the necessary and sufficient conditions for three vectors to be coplanar is that [ a b c ] = 0 i.e. a ⋅ ( b × c ) = 0 Hence, statement-1 is true.

Mathematics - Vector Question with Solution | TestHub

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