JEE Advanced questions
3844 published questions with worked solutions.
- If a, b, c are the pth, qth, rth terms of an HP and u = (q - r) i + (r - p) j + (p - q) k, v = i a + j b + k c then
- If a + b a and | b| = 2 ,| a| then
- Let = a ( b + c), = b ( c + a) and = c ( a + b). Then
- Let a, b, c be three unit vectors such that | a + b + c| = 1 and a b. If c makes angles , with a, b respectively then + is equal...
- If a, b, c are three vectors of equal magnitude and the angle between each pair of vectors is 3 such that | a + b + c| = 6 then |...
- If | a| = 5, | a - b| = 8 and | a + b| = 10 then | b| is
- If a and b are unit vectors and is the angle between them then 2 is equal to
- If | a + b| = | a - b| then
- Two vectors a = i + j 3 and b = i 3 + j are
- Let a = 2 i - j + k, b = i + 2 j - k and c = i + j - 2 k. A vector in the plane of b and c whose projection on a has the...Not in JEE syllabus
- If a = i + j, b = 2 j - k and r a = b a, r b = a b then r | r| is equal to
- If p, q are two noncollinear and nonzero vectors such that (b - c) , p q + (c - a) , p + (a - b) , q = 0, where a, b, c are the...
- If a, b, c are any three vectors such that ( a + b) c = ( a - b) c = 0 then ( a b) c is
- The unit vector perpendicular to both the vectors a = i + j + k and b = 2 i - j + 3 k and making an acute angle with the vector k...
- Let a = i - 2 j + 3 k , b = 2 i + 3 j - k and c = i + j + (2 - 1) k . If c is parallel to the plane of the vectors a and b then is
- Let a be a unit vector perpendicular to unit vectors b and c and if the angle between b and c be then b c is
- If a b = 0 and a b = 0 then
- The area of the parallelogram whose diagonals represent the vectors 3 i + j - 2 k and i - 3 j + 4 k is
- ( r i )( r i ) + ( r j )( r j ) + ( r k )( r k ) is equal to
- Let a = i + j + k , c = j - k . If b is a vector satisfying a b = c and a b = 3 then b is