JEE Advanced questions
3844 published questions with worked solutions.
- A unit vector perpendicular to the plane passing through the points whose position vectors are i - j + 2 k , 2 i - k and 2 j + k...
- Let r a = b a and r c = 0, where a b 0. Then r is equal to
- For three vectors u , v , w which of the following expressions is not equal to any one of the remaining three options?
- For three noncoplanar vectors a , b , c the relation | a b c | = | a | ,| b | ,| c | holds if and only if
- Let a , b , c be three unit vectors and a b = a c = 0. If the angle between b and c is 3 then |[ a b c ]| is equal to
- Let a, b, c be three distinct positive real numbers. If p , q , r lie in a plane, where p = a i - a j + b k , q = i + k and r = c...
- Which of the following is not equal to [ a b c ]?
- If [ a b c ] = 1 then a b c c a b + b c a a b c + c a b b c a is equal to
- a , b , c are noncoplanar vectors and p , q , r are defined as p = b c [ b c a ] , q = c a [ c a b ] , r = a b [ a b c ] . ( a +...
- If a , b , c are three noncoplanar vectors represented by concurrent edges of a parallelepiped of volume 4 then ( a + b ) ( b c )...
- If a , b , c are three noncoplanar nonzero vectors then ( a a ) , b c + ( a b ) , c a + ( a c ) , a b is equal to
- Let r be a vector perpendicular to a + b + c , where [ a b c ] = 2. If r = l( b c ) + m( c a ) + n( a b ) then l + m + n is
- If a , b are nonzero and noncollinear vectors then [ a b i ] , i + [ a b j ] , j + [ a b k ] , k is equal to
- The three concurrent edges of a parallelepiped represent the vectors a , b , c such that [ a b c ] = . Then the volume of the...
- i ( a i ) + j ( a j ) + k ( a k ) is equal to
- Let a , b and c be three vectors having magnitudes 1, 1 and 2 respectively. If a ( a c ) + b = 0 , the acute angle between a and...
- If b is a unit vector then ( a b ) , b + b ( a b ) is equal to
- Let a , b , c be three unit vectors such that a ( b c ) = b + c 2 and the angles between a , c and a , b be and respectively then
- Let p , q , r be three mutually perpendicular vectors of the same magnitude. If a vector x satisfies the equation p ( x - q ) p +...
- If and represent dot product and cross product respectively then which of the following is meaningless?