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Given that A,B,C are the points(2,1,-1),...

Given that A,B,C are the points`(2,1,-1),(3,2,-1)and(3,1,0).`Find `oversetrarr(AB)" and " oversetrarr(AC)`.Hence, find the angle between`oversetrarr(AB) " and " oversetrarr(AC).`

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A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Consider the vectorsoversetrarra=2overset^^i-3overset^^j+overset^^k" ...

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  2. Suppose oversetrarra =a1overset^^i+a2overset^^j+a3overset^^k " ".Find...

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  3. Given that A,B,C are the points(2,1,-1),(3,2,-1)and(3,1,0).Find overse...

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  4. Find the angle between two vectorsoversetrarra"and"oversetrarrb with m...

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

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  6. Find the projection of the vector 'hati-hatj' on the vector 'hati+hatj...

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  7. Find the projection of a vector i+3j+7k on the vector 7i-j+8k.

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  8. Show that each of the given three vectors is a unit vector :1/7(2overs...

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

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

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

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

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

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

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

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

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

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

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

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