Home
Class 12
MATHS
Let the vectors vec(a) and vec(b) be suc...

Let the vectors `vec(a)` and `vec(b)` be such that `|vec(a)|=3` and `|vec(b)|=(sqrt(2))/(3)`, then `vec(a)xx vec(b)` is a unit vector, if the angle between `vec(a)` and `vec(b)` is…….

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.5|8 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 10|19 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.3|18 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

|vec(a)|=3,|vec(b)=(sqrt(2))/(3) . If vec(a)xx vec(b) is a unit vector then find the angle between vec(a) and vec(b) .

If |vec(a)xx vec(b)|=vec(a).vec(b) then find the angle between vec(a) and vec(b) .

If vec(A)xxvec(B)=vec(B)xxvec(A) , then the angle between vec(A) and vec(B) is-

Find |vec(a)-vec(b)| , if two vectors vec(a) and vec(b) are such that |vec(a)|=2,|vec(b)|=3 and vec(a).vec(b)=4 .

If |vec(A)+vec(B)|=|vec(A)-vec(B)| , then find the angle between vec(A) and vec(B)

Let vec(a),vec(b) and vec( c ) are three unit vectors such that vec(a)xx(vec(b)xx vec( c ))=(sqrt(3))/(2)(vec(b)+vec( c )) . If the vectors vec(b) and vec( c ) are not parallel then the angle between vec(a) and vec(b) is ……….

Let vec(a) and vec(b) be two unit vectors and theta is the angle between them. Then vec(a)+vec(b) is a unit vector if ……….

For two vectors vec(a) and vec(b),|vec(a)|=4,|vec(b)|=3 and vec(a).vec(b)=6 find the angle between vec(a) and vec(b) .

Answer the following : (i) Can 2 similar vectors of different magnitude yield a zero resultant? Can 3 yield? (ii) Can vec(a)+vec(b)=vec(a)-vec(b) ? (iii) If vec(a)+vec(b)=vec(c) & |vec(a)|+|vec(b)|=|vec(c)| . What further information you can have about these vectors. (iv) If vec(a) & vec(b) are two non zero vectors such that |vec(a)+vec(b)|=|vec(a)+vec(b)| , then what is the angle between vec(a) & vec(b) . (v) Time has a magnitude & direction. Is it a vector? (iv) When will vec(a)xxvec(b)=vec(a).vec(b) ? (vii) Does the unit vectors vec(i), vec(j) & vec(k) have units?

Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj . Let the vector vec( c ) is such that |vec( c )-vec(a)|=3,|(vec(a)xx vec(b))xx vec( c )|=3 . The angle between vec( c ) and vec(a)xx vec(b) is 30^(@) . Then vec(a).vec( c ) = ……………