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Find the values of x and y so that the v...

Find the values of x and y so that the vectors `2hati+3hatjandxhati+yhatj` are equal.

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The correct Answer is:
`=3`
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hatiandhatj are unit vectors along x - and y- axis respectively . What is the magnitude and direction of the vectors hati+hatjandhati-hatj ? What are the components of a vector A=2hati+3hatj along the directions of hati+hatjand hati-hatj ? [ You may use graphical method]

Find the value of a so that the four points with position vectors -hatj+hatk,2hati-hatj-hatk,hati+lambdahatj+hatk and 3hatj+3hatk are co-plannar.

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Find the angle between the vector 2hati-3hatj+hatk and hati+hatj-2hatk .

If hati,hatj and hatk represent unit vectors along the x,y and z-axes respectively, then the angle theta between the vectors (hati+hatj+hatk) and (hati+hatj) is equal to :

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NCERT GUJARATI-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 joining t...

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

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

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