JEE Main 2024 — Vector Algebra Questions with Solutions

Let a=9 i-13 j+25 k, b=3 i+7 j-13 k and c=17 i-2 j+k be three given vectors. If r is a vector such that r × a=(b+c) × a…

Let OA → = a → , OB → = 12 a → + 4 b → and OC → = b → , where O is the origin. If S is the parallelogram with adjacent…

Let three vectors a=α i+4 j+2 k, b=5 i+3 j+4 k, c=x i+y j+z k form a triangle such that c=a-b and the area of the trian…

Let a → = a i i ^ + a 2 j ^ + a 3 k ^ and b → = b 1 i ^ + b 2 j ^ + b 3 k ^ be two vectors such that | a → | = 1 ; a →…

Let a → and b → be two vectors such that | b → | = 1 and | b → × a → | = 2 Then | ( b → × a → ) - b → | 2 is equal to

Let a=2 i-3 j+4 k, b=3 i+4 j-5 k and a vector c be such that a ×(b+c)+b × c=i+8 j+13 k. If a · c=13, then (24-b · c) is…

Let a=6 i+j-k and b=i+j. If c is a is vector such that |c| ≥ 6, a · c=6|c|,|c-a|=2 √(2) and the angle between a × b and…

Let a=i-3 j+7 k, b=2 i-j+k and c be a vector such that (a+2 b) × c=3(c × a). If a · c=130, then b · c is equal to _____…

Let a=i+j+k, b=2 i+4 j-5 k and c=x i+2 j+3 k, x R. If d is the unit vector in the direction of b+c such that a · d=1, t…

Let a → = i ^ + j ^ + k ^ , b → = − i ^ − 8 j ^ + 2 k ^ and c → = 4 i ^ + c 2 j ^ + c 3 k ^ be three vectors such that…