7 JEE Main 2013 Vector Algebra previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2013 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.
If a, b and c are unit vectors satisfying a-√(3) b+c=0, then the angle between the vectors a and c is :
A vector n is inclined to x-axis at 45ⁱrc, to y-axis at 60ⁱrc and at an acute angle to z-axis. If n is a normal to a pl…
If a and b are non-collinear vectors, then the value of α for which the vectors u=(α-2) a+b and v=(2+3 α) a-3 b are col…
Let a=2 i+j-2 k, b=i+j. If c is a vector such that a c=|c|,|c-a|=2 √(2) and the angle between a × b and c is 30ⁱrc, the…
The vector (i × a · b) i+(j × a b) j+(k × a · b) k is equal to:
If the vectors AB → = 3 i ^ + 4 k ^ and AC → = 5 i ^ - 2 j ^ + 4 k ^ are the sides of a triangle A B C , th…
Let a=2 i-j+k, b=i+2 j-k and c=i+j-2 k be three vectors. A vector of the type b+λ c for some scalar λ, whose projection…