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Find the area of the parallelogram whose...

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` .

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

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

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 .

Find the volume of a parallelepiped with coterminal edges represented by vectors veca=2overset^^i+3overset^^j+4overset^^k, vecb=3overset^^i-overset^^j+2overset^^k "and" vecc=overset^^i+2overset^^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 the area of a parallelogram whose adjacent sides are the vector 2i+j+k and i-j .

Find the volume of the following parallelo-piped whose the coterminal edges are: veca=overset^^i-2overset^^j+3overset^^k,vecb=2overset^^i+overset^^j+overset^^k"and" vecc=2overset^^i+overset^^j-overset^^k

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

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

Find |oversetrarraxxoversetrarrb|" if " oversetrarra=overset^^i-7overset^j+7overset^^k and oversetrarrb=3overset^^i-2overset^^j +2overset^^k.

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

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  2. Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...

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  3. Find the area of the parallelogram whose adjacent are determined by th...

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  4. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

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  5. Area of a rectangle having vertices A,B,C and D with position vectors-...

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  6. Find veca.(vecbxxvecc),if veca=2overset^^i+overset^^j+3overset^^k.vecb...

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  7. Show that the vectors veca=overset^^i-2overset^^j+3overset^^k,vecb=-2...

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  8. Show that the four points A,B,C and D with position cectors 4overset^^...

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  9. Prove that [ veca+vecb vecb+vecc vecc+veca]=2[veca vecb vecc]

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  10. Find the volume of a parallelepiped with coterminal edges represented ...

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  11. Find [veca" " vecb" " vecc] "if "veca=overset^^i-2overset^^j+overset^^...

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  12. Show that the vectors veca=overset^^i-2overset^^j+3overset^^k,vecb=-2...

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  13. Find lambda if the vectors overset^^i-overset^^j+overset^^k,3overset^^...

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  14. Letveca=overset^^i+overset^^j+overset^^k,vecb=overset^^i "and " vecc=c...

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  15. Letveca=overset^^i+overset^^j+overset^^k,vecb=overset^^i "and " vecc=c...

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  16. Show that the four points with position vectors4overset^^i+8overset^^j...

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  17. Find x such that the four points A(3,2,1)B(4,x,5),C(4,2,-2)and D(6,5-1...

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  18. If veca,vecb,veccare coplanar,prove that veca+vecb,vecb+vecc,vecc+veca...

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  19. Find the volume of the following parallelo-piped whose the coterminal ...

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  20. Find the volume of the following parallelo-piped whose the coterminous...

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