Home
Class 12
MATHS
If vec(a), vec(b) and vec(c ) are three ...

If `vec(a), vec(b)` and `vec(c )` are three unit vectors such that `vec(a).vec(b) = vec(a).vec(c ) = 0` and angle between `vec(b)` and `vec(c )` is `(pi)/(6)`, prove that `vec(a) = +-2(vec(b) xx vec(c ))`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 4 (Short Answer Type Questions - II|7 Videos
  • VECTOR ALGEBRA

    OSWAAL PUBLICATION|Exercise Topic - 2 (Short Answer Type Questions - II)|12 Videos
  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Long answer type questions - II)|23 Videos

Similar Questions

Explore conceptually related problems

If vec(a), vec(b)" and "vec(c) are three unit vectors such that vec(a)+vec(b)+vec(c)=vec(O) , find the value of vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a) .

If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+vec(c)=0 , then 3vec(a).vec(b)+2vec(b).vec(c)+vec(c).vec(a)=

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) + vec(c )= vec(0), " then " vec(a).vec(b) + vec(b).vec(c ) + vec(c ).vec(a) =

If vec a and vec b are vectors such that |vec a + vec b| = |vec a - vec b| , then the angle between vec a and vec b is

If |vec(a)| = 5, |vec(b)| = 6 and the angle between vec(a) and vec(b) is 60^(@) , then vec(a).vec(b) =

If vec(a),vec(b),vec(c ) are unit vectors such that vec(a)+vec(b)+vec(c )=0 , then the value of vec(a).vec(b)+vec(b).vec(c )+vec(c ).vec(a) is equal to

If vec(a), vec(b),vec(c ) are three vectors such that |vec(a)| = 5, |vec(b)| = 12 and |vec(c )| = 13 and vec(a) + vec(b) + vec(c ) = vec(0) , find the value of vec(a).vec(b) + vec(b).vec(c )+vec(c ).vec(a) .

If vec(a), vec(b) and vec(c ) are three vectors such that |vec(a)| = 3, |vec(b)| = 4 and |vec(c )| = 3 and each one of them is perpendicular to the sum of the other two, then find |vec(a) + vec(b) + vec(c )| .