JEE Main 2022 — Vector Algebra Questions with Solutions

Let a → and b → be two vectors such that a → + b → 2 = a → 2 + 2 b → 2 , a →…

If 2 , 3 , 9 , 5 , 2 , 1 , 1 , λ , 8 and λ , 2 , 3 are coplanar, then the product of all possible values of &…

Let a → = α i ^ + j ^ + β k ^ and b → = 3 i ^ - 5 j ^ + 4 k ^ be two vectors, such that a →…

Let a → be a vector which is perpendicular to the vector 3 i ^ + 1 2 j ^ + 2 k ^ . If a → × 2 i ^ + k…

If a → · b → = 1 , b → · c → = 2 and c → · a → = 3 , then the value…

Let S be the set of all a ∈ R for which the angle between the vectors u → = a log e b i ^ - 6 j ^ + 3 k ^ a…

Let b → = i ^ + j ^ + λ k ^ , λ ∈ ℝ . If a → is a vector such that a → × b…

Let a → = i ^ + j ^ - k ^ and c → = 2 i ^ - 3 j ^ + 2 k ^ . Then the number of vectors b → such that…

Let a → , b → , c → be three coplanar concurrent vectors such that angles between any two of them is…

Let a → = i ^ - j ^ + 2 k ^ and let b → be a vector such that a → × b → = 2 i ^ - k ^ and…