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If veca=2veci+3vecj-5veck , vecb=-ve...

If ` veca=2veci+3vecj-5veck ` , ` vecb=-veci-vecj+2veck ` and ` vecc=4veci-2vecj+2veck ` Show that ` (vecaxxvecb)xxveccnevecaxx(vecbxxvecc) ` .

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FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Prove that |vecavecbvecc|=abc   if and only if veca , vecb , ...

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  2. Show that the points (1, 3, 1), (1, 1,-1), (-1, 1, 1), (2,2, -1) are l...

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  3. If veca=2veci+3vecj-5veck , vecb=-veci-vecj+2veck and vecc=4vec...

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  4. If veca =3veci+2vecj-4veck , vecb =5veci-3vecj+6veck , vecc =5ve...

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  5. If veca =2veci+3vecj-veck , vecb =2veci+5veck , vecc =vecj-3veck...

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  6. Find the vector and cartesian equations of the straight line passing t...

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  7. Find the vector and cartesian equations of the straight line passing t...

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  8. Find the angle between the following lines vecr=3veci+2vecj-veck+t(v...

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  9. Find the angle between the following lines (x-1)/(2)=(y+1)/(3)=(z-4)...

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  10. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

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  11. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

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  12. Show that the lines (x-1)/(3)=(y-1)/(-1)=(z+1)/(0) and (x-4)/(2)=...

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  13. find the shortest distance between the skew lines. vecr=(veci-vecj)+...

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  14. find the shortest distance between the skew lines. vecr=(2veci-vecj-...

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  15. Find the vector and cartesian equations of a plane which is at a dista...

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  16. The unit normal vector to the plane 2x - y + 2z = 5 are …………..

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  17. Find the length of the perpendicular from the origin to the plane ve...

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  18. The foot of the perpendicular drawn from the origin to a plane is 18 ,...

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  19. Find the Cartesian equation of the plane through the point with positi...

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  20. Find the vector and cartesian equations of the plane passing through t...

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