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Consider the vectors " " oversetrarra=...

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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`3veca+vecb=6overset^^i-9overset^^j3overset^^k)+(overset^^i+overset^^j-2overset^^k)`
`7overset^^i-8overset^^j+overset^^k`
`implies|3veca+vecb|=sqrt(49+64+1)=sqrt(114)`
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A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j. Show that veca+vecb an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

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  17. If" " oversetrarra=2overset^^i+2overset^^j+3overset^^k," " oversetrarr...

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  18. Show that""|oversetrarra|oversetrarrb +|oversetrarrb| oversetrarra"" i...

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  19. If 'veca.veca=0' and 'veca. vecb=0', then what can be concluded about ...

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  20. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, fin...

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