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The position vectors of the points A,B,C...

The position vectors of the points A,B,C are given to be `2overset^^i+overset^^j-overset^^k,overset^^3i-overset^^2j+overset^^k"and" 1overset^^i+4overset^^j-3overset^^k` respectively.Prove that A,B,C are collinear

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From `vec(AB)=-vec(AC)`
`:. A,B,C` are collinear
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  1. Write the direction ratios and direction cosines of the vector overset...

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  2. The position vectors of the points A,B,C are given to be overset^^i+2o...

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  3. The position vectors of the points A,B,C are given to be 2overset^^i+o...

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  4. Consider the points A,B,C,D with position vectorsoverset^^i+2overset^^...

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  5. Consider the points A,B,C,D with position vectorsoverset^^i+2overset^^...

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  6. Consider the points A,B,C,D with position vectorsoverset^^i+2overset^^...

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  7. Compute the magnitude of oversetrarra =overset^^i+overset^^j+overset^^...

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  8. Compute the magnitude of oversetrarrb=2overset^^i-7overset^^j-3overset...

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  9. Compute the magnitude of oversetrarrc=1/sqrt3 overset^^i+1/sqrt3 overs...

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  10. Write two different vectors having same magnitude.

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  11. Write two different vectors having same direction.

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  12. Find the values of x and y so that the vectors 2overset^^i+3overset^^j...

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  13. Find the sum of the vectors oversetrarra =overset^^i-2overset^^j+overs...

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  14. Find the unit vector in the direction of the vectoroversetrarra=overse...

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  15. For given vectors" " oversetrarra=2overset^^i-overset^^j+2overset^^k...

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  16. Find a vector in the direction of vector '5 hati-hatj+2 hatk' which ha...

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  17. Show that the vectors 2overset^^i-3overset^^j+4overset^^k"and " -4over...

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

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

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  20. Find the unit vector in the direction of oversetrarr(PQ), where P and ...

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