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Find '|vecx|', if for a unit vector 'vec...

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

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With help of a suitable figure for any three vectors veca,vecb and vecc show that (veca+vecb)+vecc=veca+(vecb+vecc)

If veca, vecb, vecc are unit vectors then, veca.veca =_____

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. If veca is any vector, prove that veca=(veca*i)i+(veca*j)j+(veca*k)k .

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A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Evaluate the product '(3 veca-5 vecb) .(2 veca+7 vecb)'

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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