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Evaluate the product '(3 veca-5 vecb) .(...

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

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Three vectors veca,vecb,"and" vecc satisfy the condition veca+vecb+vecc=vec0 . Evaluate the quantity mu=veca.vecb+vecb.vecc+vecc.veca . If |veca|=1,|vecb|=4 " and " |vecc|=2 .

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A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Show that each of the given three vectors is a unit vector :1/7(2overs...

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

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

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

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

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

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

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

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

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  10. If either vecotor oversetrarra=oversetrarr0 " or " oversetrarrb=overse...

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  11. If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)re...

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  12. Show that the points A(1,2,7),B(2,6,3) "and" C(3,10,-1) are collinear.

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  13. Show that the vectors 2overset^^i-overset^^j+overset^^k, overset^^i-3o...

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  14. If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...

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

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

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

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

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

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

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