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Let vec O A- vec a , hat O B=10 vec a+2...

Let ` vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w h e r eO ,Aa n dC` are non-collinear points. Let `p` denotes the areaof quadrilateral `O A C B ,` and let `q` denote the area of parallelogram with `O Aa n dO C` as adjacent sides. If `p=k q ,` then find`kdot`

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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (FILL IN THE BLANKS)
  1. If for all real x the vector cxhati-6hatj+3hatk and xhati+2hatj+2cxhat...

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  2. Projection of b = 2i + 3j -2k in the direction of vector a = i+2j+3k i...

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  3. (i)a xx (b + c) + b xx (c + a) + c xx(a +b) =

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  4. (i) If vecOA = a, vecOB = b, then the vector area of triangle OAB is ....

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  5. If the diagonals of a parallelogram are 3i+j-2k and i -3j +4k then its...

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  6. If a = 2i-3j+k, b=-i+k,c=2j-k then the area of parallelogram whose dia...

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  7. a =i-2j+3k,b=3i+j+2k then a vector c which is linear combination of a ...

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  8. The distance of the point B(i+2j+3k) from the line which is passing th...

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  9. If veca,vecb,vecc are non coplanar vector and vecn.veca=vecn.vecb=vecn...

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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. If [I, j, k] be a set of orthogonal unit vectors, then fill up the bla...

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  12. The components of a vector veca along and perpendicular to a non-zero ...

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  13. If r be any vector, then |r xx i|^(2) + |r xx j|^(2) + |r xxk|^(2) =...

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  14. The points O, A, B, C, D are such that vecOA = a, vecOB = b, vecOC = 2...

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  15. Let vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

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  16. A non-zero vector is a parallel to theline of intersection of the plan...

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  17. A vector of magnitude sqrt(2) units and coplanar with vector 3i-j-k a...

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  18. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

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  19. In a parallelogram ABCD, bisectors of consecutive angles A and B inter...

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  20. If alpha,beta,gamma satisfy k xx(kxxa) =0 and a =alphai+betaj+gammak, ...

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