48 JEE Main 2023 Vector Algebra previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Vector Algebra chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Vector Algebra chapter hub.
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 → …
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 ^  …
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