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If the position vectors of two points A ans B are `3overset^i+2overset^j+overset^k` and `2overset^i-5overset^j+4overset^k` respectively, what is the magnitude of `oversetrarr(AB)` ?

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the vectors a^rarr=2overset^j-3overset^k and b^rarr=2overset^j+aove...

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  2. If |alphaoversetrarra|=2, what is the value of alpha?

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  3. If the position vectors of two points A ans B are 3overset^i+2overset^...

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  4. Given position vectors of P and Q, as (1,0,-2) and (3,-2,0) respective...

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  5. Given co-ordinates of the points A and B as (-1,-2) and (-5,-6) respec...

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  6. Write the unit vectors parallel to the vector 3overset^i+overset^j-2ov...

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  7. Find the direction cosines of the vectors, oversetrarr(r1)-oversetrarr...

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  8. Are the points A (2,6,3), B (1,2,7) and (3,10,-1) collinear?

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  9. What is the angle between the vectors oversetrarra=overset^i+overset^j...

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  10. What is the scalar product of the vectors oversetrarra=2overset^i+over...

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  11. What is the scalar projection of the vector oversetrarra=overset^i+ove...

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  12. What is the vector projection (component) of the vector oversetrarra=...

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  13. What is the unit vector perpendlcular to each of the vectors overset^i...

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  14. What is the area of the parallelogram whose sides are vectors 2overset...

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  15. The area of the triangle with vertices (2,0,0), (0,1,0) and (0,0,3) is...

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  16. If the vectorsoverset^i+2overset^j+overset^k and2overset^i+3overset^j+...

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  17. If the vectors alphaoverset^i+3overset^j+overset^k and 2overset^i+over...

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  18. If oversetrarra=overset^i-2overset^j,oversetrarrb=overset^j+overset^k,...

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  19. If |oversetrarra|=10,|oversetrarrb|=1 and oversetrarra.oversetrarrb=0...

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  20. If oversetrarra.oversetrarrb=0 and oversetrarraxx(oversetrarrbxxover...

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