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If veca, vecb, vecc are mutually perpend...

If `veca, vecb, vecc` are mutually perpendicular vectors of equal magnitudes, show that the vector `veca+vecb+vecc`is equally inclined to `veca, vecb` and `vecc`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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

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

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

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

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

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

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

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

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

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

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  12. Are vectors veca and -veca collinear ?

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  13. Write two different vectors having same magnitude.

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

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

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

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  17. For mutually perpendicularl unit vectors hati,hatj,hatk, we have : hat...

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  18. What is the value of : hati*(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjx...

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  19. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

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  20. Classify the following as vector as scalar : veca*vecb,[vecavecbvecc],...

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