Home
Class 12
MATHS
For given vectors vec(a)=3hati+4hatj-5ha...

For given vectors `vec(a)=3hati+4hatj-5hatk` and `vec(b)=2hati+hatj` find the unit vectors in the direction of the vector `vec(a)+2vec(b)`.

Text Solution

Verified by Experts

The correct Answer is:
`(7)/(sqrt(110))hati+(6)/(sqrt(110))hatj-(5)/(sqrt(110))hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

For given vectors, vec(a)=hati+2hatj and vec(b)=hati+2hatk , find the unit vector in the direction of the vector 3vec(a)-2vec(b) .

For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk , find the unit vector in the direction of the vector veca+vecb .

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

Find the unit vector in the direction of the vector 2hati-2hatj+hatk .

If vec(a)=hati+2hatj-3hatk and vec(b)=3hati-hatj+2hatk then show that (vec(a)+vec(b)) is a perpendicular to the vector vec(a)-vec(b) .

If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the modulus and direction cosines of vec(PQ) .

vec(a)=hati+hatj+sqrt(2)hatk,vec(b)=b_(1)hati+b_(2)hatj+sqrt(2)hatk and vec( c )=5hati+hatj+sqrt(2)k are three vectors. The projection of the vector vec(b) on vec(a) is |vec(a)| . If vec(a)+vec(b) is perpendicular to vec( c ) then |vec(b)| = ...........

vec(a)=2hati-2hatj+hatk,vec(b)=hati+2hatj-2hatk and vec( c )=2hati-hatj+4hatk then find the projection of vec(b)+vec( c ) on vec(a) .

If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk , then find a vector in the direction of a and having magnitude as |b|.