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Find a vector of magnitude 9 which is pe...

Find a vector of magnitude 9 which is perpendicular to both the vectors `4overset^^i-overset^^j+3overset^^k " and " -2overset^^i+overset^^j-2overset^^k`

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Show that the vectors 2overset^^i-3overset^^j+4overset^^k"and " -4overset^^i+6overset^^j-8overset^^k are collinear.

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

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2overset^^i+3overset^^j-overset^^k "and "vecb=overset^^i-2overset^^j+overset^^k .

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

Find the area of the parallelogram whose adjacent are determined by the vectors veca=overset^^i-overset^^j+3overset^^k "and"vecb=2overset^^i-7overset^^j+overset^^k .

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

Find aunit vector along the sum of the vectors oversetrarra = overset^^i-3overset^^k "and"oversetrarrb =2overset^^i+5overset^^j-3overset^^k?

The scalar product of the vector overset^^i+overset^^j+overset^^k with a unit vector along the sum of the vectors 2overset^^i+4overset^^j-5overset^^k"and" lambdaoverset^^i+2overset^^j+3overset^^k is equal to I.Find the value of lambda .

Find a unit vector along the vector oversetrarrb =3 overset^^i -overset^^j + overset^^k

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

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...

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  2. Find the magnitude of oversetrarra given by oversetrarra =(overset^^i...

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  3. Find a vector of magnitude 9 which is perpendicular to both the vector...

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  4. Find a unit vector perpendicular to the plane ABC where A,B,C are the ...

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  5. Given |oversetrarra| =10,|oversetrarrb| =2" and "oversetrarra.oversetr...

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  6. Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" a...

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  7. Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" a...

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  8. Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k"an...

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  9. Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" a...

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  10. Consider the points A(1,2,-1)," " B(2,5,1)," " and" " C(0,-1,-3): Find...

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  11. Consider the points A(1,2,-1),B(2,5,1)andC(0,-1,-3): Find oversetrarr(...

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  12. Consider two vectors oversetrarra" and " oversetrarrb so that|overse...

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  13. Consider two vectors oversetrarra "and" oversetrarrb so that|overset...

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  14. Find |oversetrarraxxoversetrarrb|" if " oversetrarra=overset^^i-7overs...

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  15. Find a unit vector perpendicular to each of the vectors oversetrarra+o...

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  16. Choose the correct answer from the backet. If a unit vector hata makes...

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  17. Show that (oversetrarra-oversetrarrb) xx(oversetrarra+oversetrarrb)=2...

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  18. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

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  19. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

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  20. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

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