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If" " oversetrarra=2overset^^i+2overset^...

If`" " oversetrarra=2overset^^i+2overset^^j+3overset^^k," "` `oversetrarrb= -overset^^i+2overset^^j+overset^^k " and " oversetrarrc = 3overset^^i+overset^^j` are such that `oversetrarra+lambda oversetrarrb` is perpendicular to `oversetrarrc`,then find the value of `lambda`

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Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " oversetrarrb=3overset^^i-overset^^j+2overset^^k " and " oversetrarrc=11 overset^^i+overset^^j : Find oversetrarra+oversetrarrb" and "oversetrarra.oversetrarrb

Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=3overset^^i-overset^^j+2overset^^k "and" oversetrarrc=11 overset^^i+overset^^j : Find the value of lambda "and" mu such that oversetrarrc =lambda oversetrarra+mu oversetrarrb

Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " oversetrarrb=3overset^^i-overset^^j+2overset^^k " and " oversetrarrc=11 overset^^i+overset^^j : Find the unit vector in the direction of oversetrarra+ oversetrarrb

Find the sum of the vectors oversetrarra =overset^^i-2overset^^j+overset^^k,oversetrarrb=-2overset^^i+4overset^^j+5overset^^k " and " oversetrarrc=overset^^i-6overset^^j-7overset^^k

Consider the vectors oversetrarra=2overset^^i+3overset^^j+overset^^k " and " oversetrarrb=3overset^^i +2 overset^^j -3overset^^k find oversetrarra.oversetrarrb

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

Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" and "oversetrarrb=2overset^^i-3overset^^j-5overset^^k : Find oversetrarraxxoversetrarrb

Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overset^^k" and "oversetrarrb = overset^^i+overset^^j-2overset^^k. "" Find |3 oversetrarra+oversetrarrb |

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

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

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find the magnitude of two vectors oversetrarra"and"oversetrarrb, havin...

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

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

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

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  5. If veca.veca=0 and veca. vecb=0, then what can be concluded about the ...

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

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

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  8. 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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  9. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

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  10. Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-...

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

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  12. Show that the area of a parallelogram with diagonals veca and vecb is ...

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  13. Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...

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  14. Find a unit vector perpendicular to each of the vectors (veca +vecb) a...

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  15. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

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  16. Find the area of a parallelogram whose adjacent sides are given by the...

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  17. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

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  18. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

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

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  20. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

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