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if veca=2i+2j+3k , vecb=-i+2j+k and vcec...

if `veca=2i+2j+3k , vecb=-i+2j+k` and `vcec=3i+j` are such that `veca+lambdavecb` is perpendicular `vecc` then find the value of `lambda`

A

5

B

4

C

6

D

2

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A
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)
  1. The distance between a point P whose position vector is 5i +j + 3k and...

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  2. Let a,b, c be the three vectors such that a.(b + c) = b . (c + a) = c ...

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  3. if veca=2i+2j+3k , vecb=-i+2j+k and vcec=3i+j are such that veca+lambd...

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  4. If abs(a)=2, abs(b)=5" and "abs(a times b)=8" then "abs(a*b) is equal ...

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  5. If a*b=b*c=c*a=0," then [abc] is equal to

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  6. Let vec a , vec ba n d vec c be three non-coplanar vectors and ve...

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  7. The volume of the parallelopiped whose sides are given by overset(...

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  8. The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are col...

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  9. If abs(a)=2, abs(b)=3, abs(c)=4" and "a+b+c=0 then the value of b*c+c...

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  10. A,B,C,D are four points in space and |bar(AB) times bar(CD) +bar(BC) t...

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  11. Given a=i+j-k, b=-i+2j+k" and "c=-i+2j-k. A unit vector perpendicular ...

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  12. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

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  13. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

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  14. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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  15. Let barV = 2i + j - k and barW = i + 3k If barU is a unit vector, th...

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  16. A vector c perpendicular to the vectors 2i+3j-k" and "i-2j+3k satisfyi...

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  17. If a, b, c be three units vectors such that a xx (b xx c)=(1/2) b ;...

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  18. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

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  19. IfA, B are two points on the curve y = x^2 in the xoy plane satisfying...

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  20. If A, B, C, D are four points in space satisfying bar(AB).bar(CD)=K ...

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