JEE Main 2023 — Vector Algebra Questions with Solutions

Let λ ∈ ℝ , a → = λ i ^ + 2 j ^ - 3 k ^ , b → = i ^ - λ j ^ + 2 k ^ , If ( ( a &…

If four distinct points with position vectors a → , b → , c → and d → are coplanar, then [ a &#…

Let a → = 2 i ^ + 3 j ^ + 4 k ^ ,   b → = i ^ - 2 j ^ - 2 k ^ and c → = - i ^ + 4 j ^ + 3 k ^ .…

Let α → = 4 i ^ + 3 j ^ + 5 k ^ and β → = i ^ + 2 j ^ - 4 k ^ . Let β → 1 be parallel…

Let a → = i ^ + 2 j ^ + 3 k ^ and b → = i ^ + j ^ - k ^ . If c → is a vector such that a → &#18…

Let a → = i ^ + 4 j ^ + 2 k ^ , b → = 3 i ^ - 2 j ^ + 7 k ^ and c → = 2 i ^ - j ^ + 4 k ^ . If a vect…

Let a → be a non-zero vector parallel to the line of intersection of the two planes described by i ^ + j ^ , i ^…

Let a → = 2 i ^ + j ^ + k ^ , and b → and c → be two nonzero vectors such that a → + b →…

Let | a → | = 2 , | b → | = 3 and the angle between the vectors a → and b → be π 4 . Then…

If the four points, whose position vectors are 3 i ^ - 4 j ^ + 2 k ^ , i ^ + 2 j ^ - k ^ , - 2 i ^ - j ^ + 3 k ^  …