9 JEE Main 2004 Vector Algebra previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2004 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.
Three forces P, Q and R acting along IA, IB and IC, where I is the incentre of a A B C, are in equilibrium. Then P: Q:…
If a, b, c are non-coplanar vectors and λ is a real number, then the vectors a+2 b+3 c, λ b+4 c and (2 λ-1) c are non-c…
With two forces acting at a point, the maximum effect is obtained when their resultant is 4 ~N. If they act at right an…
Let a, b and c be non-zero vectors such that (a × b) × c=(1)/(3)|b||c| a. If θ is the acute angle between the vectors b…
A particle is acted upon by constant forces 4 I+J-3 k and 3 I+J-k which displace it from a point i+2 j+3 k to the point…
A velocity (1)/(4) ~m / s is resolved into two components along OA and OB making angles 30ⁱrc and 45ⁱrc respectively wi…
Let a, b and c be three non-zero vectors such that no two of these are collinear. If the vector a+2 b is collinear with…
In a right angle ABC, ∠ A=90ⁱrc and sides a, b, c are respectively, 5 ~cm, 4 ~cm and 3 ~cm. If a force F has moments 0,…
If the straight lines x=1+s, y=-3-λ s, z=1+λ s and x=(t)/(2), y=1+t, z=2-t with parameters s and t respectively, are co…