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The perpendicular distance of the point ...

The perpendicular distance of the point whose position vector is `(1,3,5)` from the line `barr=hati+2 hatj+3 hatk+lambda(hati+2 hatj+2 hatk)` is equal to

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CENGAGE-VECTORS-Question Bank
  1. Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If veca=hati+hatj+hatk,hatb=hati-hatj+hatk,vecc=hati+2hatj-hatk, then ...

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  19. The sum of all possible real values of ' a ' for which vectors vecr1=...

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  20. If bara=3 hati-hatj+hatk , vecb=2 hati-3 hatj-hatk , vecc and vecd=2 h...

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