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Find the unit vector in the direction of...

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

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The correct Answer is:
`(1)/(sqrt(6))hati+(1)/(sqrt(6))hatj+(2)/(sqrt(6))hatk`
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Find a vector in the direction of vector 5hati-hatj+2hatk which has magnitude 8 units.

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2hati+3hatj-hatkandvecb=hati-2hatj+hatk .

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Find the projection of the vector veca=2hati+3hatj+2k on the vector vecb=hati+2hatj+hatk .

A unit vector parallel to the intersection of the planes vecr.(hati - hatj + hatk) =5 and vecr.( 2 hati + hatj - 3 hatk) =4 is

Find a unit vector perpendicular to each of the vector veca+vecbandveca=3hati+2hatj+2hatkandvecb=hati+2hatj-2hatk .

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NCERT TELUGU-VECTOR ALGEBRA-EXERCISE 10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

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  2. Write two different vectors having same magnitude.

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  3. Write two different vectors having same direction.

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  4. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

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  5. Find the scalar and vector components of the vector with initial poi...

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  6. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5h...

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

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  8. Find the unit vector in the direction of vector vec(PQ) , where P and ...

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  9. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

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  10. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

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  11. Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are coll...

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  12. Find the direction cosines of the vector hati+2hatj+3hatk.

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  13. Find the direction cosines of the vector joining the points A(1,2,-3)...

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  14. Show that the vector hati+hatj+hatk is equally inclined to the axes OX...

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  15. Find the position vector of a point R which divides the line joing two...

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  16. Find the position vector of the mid point of the vector joining the p...

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  17. Show that the points A,B and C with position vectors , veca=3hati-4hat...

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  18. In triangle ABC (Fig 10.18), which of the following is not true :

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  19. If vecaandvecb are two collinear vectors , then which of the following...

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