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Consider the vectors oversetrarra=2overs...

Consider the vectors `oversetrarra=2overset^^i+3overset^^j+moverset^^k " and " oversetrarrb=3overset^^i +2 overset^^j -3overset^^k`
Find the value of m for which `oversetrarra "and"oversetrarrb` are perpendicular. In such a case verify that `(oversetrarra+oversetrarrb)^2=|oversetrarra""^2|+|oversetrarrb""^2|`

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  1. Express 2overset^^i-overset^^j+3overset^^k as the sum of a vector para...

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  2. Consider the vectors oversetrarra=2overset^^i+3overset^^j+overset^^k "...

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  3. Consider the vectors oversetrarra=2overset^^i+3overset^^j+moverset^^k ...

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  4. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

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  5. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

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  6. Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j. Show that veca+vecb an...

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  7. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=...

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  8. Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overse...

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  9. Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset...

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  10. Consider the vectorsoversetrarra=2overset^^i-3overset^^j+overset^^k" ...

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  11. Suppose oversetrarra =a1overset^^i+a2overset^^j+a3overset^^k " ".Find...

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  12. Given that A,B,C are the points(2,1,-1),(3,2,-1)and(3,1,0).Find overse...

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  13. Find the angle between two vectorsoversetrarra"and"oversetrarrb with m...

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  14. Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"...

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  15. Find the projection of the vector 'hati-hatj' on the vector 'hati+hatj...

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  16. Find the projection of a vector i+3j+7k on the vector 7i-j+8k.

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  17. Show that each of the given three vectors is a unit vector :1/7(2overs...

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  18. Find |oversetrarra|"and" |oversetrarrb| if (oversetrarra+oversetrarrb...

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  19. Evaluate the product '(3 veca-5 vecb) .(2 veca+7 vecb)'

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  20. Find the magnitude of two vectors oversetrarra"and"oversetrarrb, havin...

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