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Find the position vector of a point R wh...

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are `hat i + 2 hat j - hat k` and `- hat i + hat j + hat k` respectively, in the ratio 2 : 1
(i) internally (ii) externally

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The correct Answer is:
(i) `-(1)/(3)hati+(4)/(3)hatj+(1)/(3)hatk`
(ii) `-3hati+3hatk`
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NCERT TAMIL-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 the 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 point...

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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 Q...

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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 5 hat i - hat j + 2 hat k whi...

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

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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 with the coord...

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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. In triangle ABC, which of the following is not true?

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  19. If vec a and vec b are collinear vectors, then which of the following ...

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