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If `vec a, vec b` and `vec c` are mutually perpendicular unit vectors such that `x bara-y vecb+vecc-2 hati=vec0, x, y in R`, then the value of `x^2+y^2` is

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CENGAGE-VECTORS-Question Bank
  1. If vec a, vec b and vec c are mutually perpendicular unit vectors such...

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  2. Let veca and vecb be two vectors such that |veca|=1 and veca.(vecb xx(...

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  3. Given f^2(x)+g^2(x)+h^2(x) le 9 and U(x)=3 f(x)+4 g(x)+10 h(x), where ...

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  4. Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...

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  5. If bara and vecb are non zero, non collinear vectors, and the linear c...

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  6. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  7. Given three vectors eveca, vecb and vecc two of which are non-collinea...

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  8. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

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  9. If the three points with posifion vectors (1, a, b) ,(a, 2, b) and (a,...

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  10. The number of vectors of unit length perpendicular to vectors vec ...

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  11. If bara, vecb are any two perpendicular vectors of equal magnitude and...

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  12. The perpendicular distance of the point whose position vector is (1,3,...

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  13. If two sides of a triangle A B C are represented by vectors veca and (...

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  14. If |veca|=|vecb|=|vecc|=2 and veca.vecb=vecb.vecc=vecc xx veca=2, then...

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  15. Let veca=-hati+hatj+hatk, vecb=2 hati+hatk and vector vecc satisfying ...

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  16. If three points (2 vecp-vecq+3 vecr),(vecp-2 vecq+alpha vecr) and (bet...

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  17. If |vecalpha|=|vecbeta|=|vecalpha+vecbeta|=4, then the value of |vecal...

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  18. Let a, b, c in R and alpha, beta are the real roots of the equation ax...

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  19. Let veca and vecb be two unit vectors then maximum value of(|veca+vecb...

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  20. If the vectors (1-x) hati+hatj+hatk, hati+(I-y) hatj+hatk and hati+hat...

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