8 JEE Main 2012 Vector Algebra previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2012 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 a and b be two unit vectors. If the vectors c=a+2 b and d=5 a-4 b are perpendicular to each other, then the angle b…
A B C D is parallelogram. The position vectors of A and C are respectively, 3 i+3 j+5 k and i-5 j-5 k. If M is the midp…
Let A B C D be a parallelogram such that A B=q, A D=p and ∠ B A D be an acute angle. If r is the vector that coincides…
If u=j+4 k, v=i+3 k and w= θ i+ θ j are vectors in 3-dimensional space, then the maximum possible value of |u × v · w|…
If a=i-2 j+3 k, b=2 i+3 j-k and c=λ i+j+(2 λ-1 k) are coplanar vectors, then λ is equal to
If a+b+c=0,|a|=3,|b|=5 and |c|=7, then the angle between a and b is
Statement 1: The vectors a, b and c lie in the same plane if and only if a ·(b × c)=0 Statement 2: The vectors u and v…
Statement 1: If the points (1,2,2),(2,1,2) and (2,2, z) and (1,1,1) are coplanar, then z=2. Statement 2: If the 4 point…