JEE Advanced questions
3844 published questions with worked solutions.
- If the vertices of a tetrahedron have the position vectors 0, i+ j, 2 j- k and i+ k then the volume of the tetrahedron is
- A line passes through the points whose position vectors are i+ j-2 k and i-3 j+ k. The position vector of a point on it at a unit...
- A vector of magnitude 2 along a bisector of the angle between the two vectors 2 i-2 j+ k and i+2 j-2 k is
- A unit vector coplanar with i+ j+2 k and i+2 j+ k, and perpendicular to i+ j+ k, is
- A unit vector which is equally inclined to the vectors i, -2 i+ j+2 k 3 and -4 j-3 k 5 is
- If | a|=4, | b|=2 and the angle between a and b is 6 then ( a b)^2 is equal to
- Three points whose position vectors are a, b, c will be collinear if
- Let b=4 i+3 j. Let c be a vector perpendicular to b and it lies in the x-y plane. A vector in the x-y plane having projections 1...
- If a, b, c are noncoplanar vectors such that b c= a, a b= c and c a= b then
- Let a, b, c be noncoplanar vectors and p= b c [ a b c] , q= c a [ b c a] , r= a b [ c a b] then
- If a, b, c are any three vectors then ( a b) c is a vector
- If c= a b and b= c a then
- If x b= c b and x a then x is equal to
- The resolved part of the vector a along the vector b is and that perpendicular to b is . Then
- ( a b) ( c d) is equal to
- If a, b, c, d are any four vectors then ( a b) ( c d) is a vector
- P is a point in the plane of the ABC whose orthocentre is H and the circumcentre is O. Forces AP , BP , CP and PH act at P. The...
- Three forces P, Q and R, each of 15 units, act along AB, BC and CA respectively. The position vectors of A, B and C are OA =2 i-...
- The vertices of a triangle ABC are A(-1,0,2), B(1,2,0) and C(2,3,4). The moment of a force of magnitude 10 acting at A along AB...
- The vector moment about the point i+2 j+3 k of the resultant of the forces i-2 j+5 k and 3 j-4 k acting at the point -2 i+3 j- k...