JEE Main 2021 — Vector Algebra Questions with Solutions

Let a → , b → , c → be three mutually perpendicular vectors of the same magnitude and equally incline…

Let c → be a vector perpendicular to the vectors a → = i ^ + j ^ - k ^ and b → = i ^ + 2 j ^ + k ^ .…

Let a → = i ^ + 2 j ^ - k ^ ,   b → = i ^ - j ^ and c → = i ^ - j ^ - k ^ be three given vectors…

Let the vectors 2 + a + b i ^ + a + 2 b + c j ^ - b + c k ^ ,   1 + b i ^ + 2 b j ^ - b k ^ and 2 + b i ^ + 2 b j…

If a → = 2 , b → = 5 and a → × b → = 8 , then a → · b → is equal to:

Let a vector α i ^ + β j ^ be obtained by rotating the vector 3 i ^ + j ^ by an angle 45 ° about the ori…

Let a → and b → be two non-zero vectors perpendicular to each other and | a → | = | b → | , If…

Let a → and b → be two vectors such that | 2 a → + 3 b → | = | 3 a → + b → | and th…

Let a → = i ^ + j ^ + k ^ and b → = j ^ - k ^ . If c → is a vector such that a → × c &#859…

Let x → be a vector in the plane containing vectors a → = 2 i ^ - j ^ + k ^ and b → = i ^ + 2 j ^ - k…