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If veca=2hati-hatj+hatk,vecb=hati+3hatj-...

If `veca=2hati-hatj+hatk,vecb=hati+3hatj-hatk,vecc=-2hati+hatj-3hatk` and `vecd=3hati+2hatj+5hatk`, find the scalars `alpha,beta` and `gamma` such that `vecd=alphaveca+betavecb+gammavecc`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  2. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

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  3. If veca=2hati-hatj+hatk,vecb=hati+3hatj-hatk,vecc=-2hati+hatj-3hatk an...

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  4. Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...

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  5. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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  6. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  7. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  8. If veca,vecb,vecc are three non-coplanar vectors and vecd*veca=vecd*ve...

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  9. If vecc is normal to veca and vecb, show that vecc is normal to veca+v...

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  10. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  11. Find the area of the parallelogram having diagonals veca+vecb and vecb...

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  12. Prove that the quadrilateral obtained by joining mid-points of adjacen...

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  13. Prove that 1/2 vec(AC)xxvec(BD) represents the vector area of the plan...

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  14. Given veca=1/7(2hati+3hatj+6hatk), vecb=1/7(3hati-6hatj+2hatk) , ve...

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  15. If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and...

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  16. Are vectors veca and -veca collinear ?

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  17. Write two different vectors having same magnitude.

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  18. What is the unit vector in the direction of veca=veci+vecj+2veck?

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  19. What is the position vector of the mid-point of the line segment joini...

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  20. The scalar product of two given vectors veca and vecb having angle 'th...

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