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Consider the points A(1,2,-1),B(2,5,1)an...

Consider the points A(1,2,-1),B(2,5,1)andC(0,-1,-3):
Find `oversetrarr(AB)xxoversetrarr(AC)`. Hence, prove that A,B,C are collinear

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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