JEE Advanced questions
3844 published questions with worked solutions.
- ( a i )^2 + ( a j )^2 + ( a k )^2 is equal to
- If a b c then ( a b ) ( a c ) is equal to
- If a , b , c are noncoplanar nonzero vectors then ( a b ) ( a c ) + ( b c ) ( b a ) + ( c a ) ( c b ) is equal to
- If a , b , c are three noncoplanar nonzero vectors and r is any vector in space then ( a b ) ( r c ) + ( b c ) ( r a ) + ( c a )...
- Let a , b , c be three unit vectors of which b and c are nonparallel. Let the angle between a and b be and that between a and c...
- Let a=2 i+ j-2 k and 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 30^ then |( a...
- Let a and b be two noncollinear unit vectors. If u= a-( a b) b and v= a b then | v| is
- If a, b, c be three vectors such that [ a b c]=4 then [ a b b c c a] is equal to
- a ( b c), b ( c a) and c ( a b) are
- If the vectors a, b, c and d are coplanar then ( a b) ( c d) is equal to
- If a ( a b)= b ( b c) and a b 0 then [ a b c] is equal to
- Let OA = a, OB =10 a+2 b and OC = b, where O, A and C are noncollinear points. Let p denote the area of the quadrilateral OABC,...
- The position vectors of the vertices A, B, C of a triangle are i- j-3 k, 2 i+ j-2 k and -5 i+2 j-6 k respectively. The length of...Not in JEE syllabus
- P is a point on the line through the point A whose position vector is a and the line is parallel to the vector b. If PA=6, the...
- The coplanar points A, B, C, D are (2-x,2,2), (2,2-y,2), (2,2,2-z) and (1,1,1) respectively. Then
- Let AB =3 i+ j- k and AC = i- j+3 k. If the point P on the line segment BC is equidistant from AB and AC then AP is
- The cosine of the angle between two diagonals of a cube is
- If AB = b and AC = c then the length of the perpendicular from A to the line BC is
- The distance of the point (1,1,1) from the plane passing through the points (2,1,1), (1,2,1) and (1,1,2) is
- The projection of the vector i+ j+ k on the line whose vector equation is r=(3+t) i+(2t-1) j+3t k, t being the scalar parameter,...