Vector Questions

Let u→ be a vector coplanar with the vectors a→=2i^+3j^-k^ and b→=j^+k^. If u→ is perpendicular to a→and u→.b→= 24, then |u→|2 is equal to-...

Let a- ,b- and c-  be three unit vectors such that a-×b-×c-=32b-+c- if c- is not parallel to is c- , then the angle between a- and ,b- is:...

Let and be three vectors each of magnitude √2 and the angle between each pair of them is . If is a nonzero vector perpendicular to and and is a nonzero vector perpendicular to and , then...

If the vectors and are the sides of a triangle ABC, then the length of the median through A is :...

If are vectors such that and , then a possible value of is...

The vector are not perpendicular and are two vectors satisfying: . Then the vector dr is equal to...

Lat . Then vector b satisfying is

If the vectors are mutually orthogonal, then (λ, μ) =

Let P, Q, R and S be the points on the plane with position vectors respectively. The quadrilateral PQRS must be a

If are non-coplanar vectors and p, q are real numbers, then the equality = 0 holds for...

The vector lies in the plane of the vectors and and bisects theangle between and . Then which one of the following gives possible values of α and β ?...

If and are unit vectors and θ is the acute angle between them, then is a unit vector for...

Let and . If the vector lies in the plane of and , then x equals...

If where and are any three vectors such that . ≠ 0, . ≠ 0 then and are...

For any vector , the value of is equal to

Let and be three non-zero vectors such that no two of these are collinear. If the vector is collinear with and is collinear with (λ being some non-zero scalar) then equals...

If are non-coplanar vectors and λ is a real number, then the vectors and are non-coplanar for...

Let and be non-zero vectors such that If θ is the acute angle between the vectors and , then sin θ equals...

If = 0 and vectors (1, a, a2) (1, b, b2) and (1, c, c2) are non-coplanar, then the product abc equals...

The lines and are coplanar if