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Consider oversetrarra=overset^^i+2overse...

Consider `oversetrarra=overset^^i+2overset^^j-3overset^^k," " oversetrarrb=3overset^^i-overset^^j+2overset^^k " and " oversetrarrc=11 overset^^i+overset^^j`:
Find the unit vector in the direction of `oversetrarra+ oversetrarrb`

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Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " oversetrarrb=3overset^^i-overset^^j+2overset^^k " and " oversetrarrc=11 overset^^i+overset^^j : Find oversetrarra+oversetrarrb" and "oversetrarra.oversetrarrb

Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=3overset^^i-overset^^j+2overset^^k "and" oversetrarrc=11 overset^^i+overset^^j : Find the value of lambda "and" mu such that oversetrarrc =lambda oversetrarra+mu oversetrarrb

For given vectors " " oversetrarra=2overset^^i-overset^^j+2overset^^k " and "oversetrarrb=-overset^^i+overset^^j-overset^^k , find the unit vector in the direction of the vector oversetrarra+oversetrarrb.

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

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

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

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

Find the sum of the vectors oversetrarra =overset^^i-2overset^^j+overset^^k,oversetrarrb=-2overset^^i+4overset^^j+5overset^^k " and " oversetrarrc=overset^^i-6overset^^j-7overset^^k

If " " oversetrarra=2overset^^i+2overset^^j+3overset^^k," " oversetrarrb= -overset^^i+2overset^^j+overset^^k " and " oversetrarrc = 3overset^^i+overset^^j are such that oversetrarra+lambda oversetrarrb is perpendicular to oversetrarrc ,then find the value of lambda

Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset^^k" and "oversetrarrb = overset^^i+overset^^j-2overset^^k .Find the angle between oversetrarra " and "oversetrarrb

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Consider the vectors oversetrarra=2overset^^i+3overset^^j+moverset^^k ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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