Write the unit vector in the direction o...

Write the unit vector in the direction of `vecA=5veci+vecj-2veck`.

Verified by Experts

`|vecA|=sqrt(5^2+1^2+(-2)^2)=sqrt(30)`
The required unit vector is `vecA/(|vecA|)`
` = 5/sqrt30 veci+1/sqrt30 vecj-2/sqrt30 veck`.

Similar Questions

Explore conceptually related problems

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

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

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

Find the unit vector in the direction of vector vec(PQ) , where P and Q are the points (1,2,3) and (4,5,6) , respectively.

Find the unit vector in the direction of the sum of vectors , veca=2hati+2hatj-5hatkandvecb=2hati+hatj+3hatk .

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

Find the unit vector in the direction of sum of vectors vec(a)=2hati-hatj+hatk and bar(b)=2hatj+hatk .

Find a unit vector in the direction of the vector (2, 3, 6).

If hatn is a unit vector in the direction of the vector vecA , then hatn is