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Consider the vectors oversetrarra=2overs...

Consider the vectors `oversetrarra=2overset^^i+3overset^^j+overset^^k " and " oversetrarrb=3overset^^i +2 overset^^j -3overset^^k`
find `oversetrarra.oversetrarrb`

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`veca.vecb=2xx3+3xx2+mxx-3`
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Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overset^^k" and "oversetrarrb = overset^^i+overset^^j-2overset^^k. "" Find |3 oversetrarra+oversetrarrb |

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Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k"and"oversetrarrb=2overset^^i-3overset^^j-5overset^^k : If oversetrarra "and" oversetrarrb' are two adjactent sides of a parallelogram, find the area of the parallelogram .

Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" and "oversetrarrb=2overset^^i-3overset^^j-5overset^^k : Prove that oversetrarraxxoversetrarrb= -oversetrarrbxxoversetrarra

Consider the vectors oversetrarra=2overset^^i-3overset^^j+overset^^k" and "oversetrarrb = overset^^i+overset^^j-2overset^^k . Find the projection of oversetrarra " on "oversetrarrb

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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Are the vectors oversetrarra =2 overset^^i -overset^^j "and"oversetrarrb =overset^^i+2overset^^j equal?

Show that the points A,B and C with position vectors oversetrarra =3overset^^i-4overset^^j-4overset^^k," " oversetrarrb= 2overset^^i-overset^^j+overset^^k " and " oversetrarrc=overset^^i-3overset^^j-5overset^^k respectively form the vertices of a right angled triangle.

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If oversetrarra is a unit vector and (oversetrarrx-oversetrarra) .(ove...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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