JEE Main 2020 — Vector Algebra Questions with Solutions

If x → and y → be two non-zero vectors such that x → + y → = x → and 2 x → + λ…

Let a ,   b ,   c ∈ R be such that a 2 + b 2 + c 2 = 1 . If a cos θ = b cos θ + 2 π 3 =…

Let a → , b → and c → , be three unit vectors such that a → + b → + c → = 0 →…

Let x 0 be the point of local maxima of f x = a → · b → × c → , where a → = x i ^ - 2…

Let the position vectors of points ' A ' and ' B ' be i ^ + j ^ + k ^ and 2 i ^ + j ^ + 3 k ^ , respectively. A point '…

Let the volume of a parallelepiped whose coterminous edges are given by u → = i ^ + j ^ + λ k ^ ,   v &…

If a → = 2 i ^ + j ^ + 2 k ^ , then, the value of i ^ × a → × i ^ 2 + j ^ × a → ×…

If the vectors, p → = a + 1 i ^ + a j ^ + a k ^ , q → = a i ^ + a + 1 j ^ + a k ^ and r → = a i ^ + a…

A vector a → = α i ^ + 2 j ^ + β k ^ α , β ∈ R lies in the plane of the vectors, b &#85…

If a → and b → are unit vectors, then the greatest value of 3 | a → + b → | + | a → - b &…