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

Find the values of x and y so that the vectors `2 hat i+3 hat j`and `x hat i+y hat j`are equal.

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Let the given vectors be
`veca = 2 hat i+3 hat j+0 hat k`
`vecb=x hat i+y hat j+0 hat k`
Since they are equal so, `veca= vecb`
...
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NCERT-VECTOR ALGEBRA-EXERCISE 10.2
  1. If vec aand vec bare two collinear vectors, then which of the foll...

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  2. In triangle ABC (Figure), which of the following is not true: (A) v...

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  3. Show that the vectors 2 hat i-3 hat j+4 hat kand -4 hat i+6 hat j-8 h...

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  4. Find a vector in the direction of vector 5 hat i- hat j+2 hat kwhich ...

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  5. Find the direction cosines of the vector joining the points A(1, 2, 3...

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  6. Find the direction cosines of the vector hat i+2 hat j+3 hat k.

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  7. Find the position vector of a point R which divides the line joining ...

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  8. Show that the vector hat i+ hat j+ hat kis equally inclined to the a...

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  9. Show that the points A, B and C with position vectors, veca=3 hat i-...

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

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  11. Find the unit vector in the direction of vector vec(PQ), where P an...

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  12. For given vectors, veca=2 hat i- hat j+2 hat k and vecb=- hat i+ ha...

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  13. Write two different vectors having same magnitude.

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  14. Write two different vectors having same direction.

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  15. Compute the magnitude of the following vectors: vec a= hat i+ hat j+ ...

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  16. Find the sum of the vectors veca= hat i-2 hat j+ hat k , vecb=-2 hat...

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  17. Find the unit vector in the direction of the vector veca= hat i+ ha...

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  18. Find the values of x and y so that the vectors 2 hat i+3 hat jand x h...

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  19. Find the scalar and vector components of the vector with initial poin...

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