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Find the point of intersection of the lines  ` (x-1)/(2)=(y-2)/(3)=(z-3)/(4) ` and  ` (x-4)/(5)=(y-1)/(2)=z ` .

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Find the point of intersection of the lines (x-1)/(3)=(y-1)/(-1) = z+2’and (x-4)/(2)=y=(z+1)/(3) .

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and (x+3)/(-36)=(y-3)/2=(z-6)/4 is (A) (21 ,5/3,(10)/3) (B) (2,10 ,4) (C) (-3,3,6) (D) (5,7,-2)

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Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

The equation of the plane which passes through the point of intersection of lines ""(x-1)/3=(y-2)/1=(z-3)/2"","and"(x-3)/1=(y-1)/2=(z-2)/3 and at greatest distance from point (0,0,0) is a. 4x+3y+5z=25 b. 4x+3y=5z=50 c. 3x+4y+5z=49 d. x+7y-5z=2

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Show that the lines (x-1)/(4)=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(-2)=(5-z)/(6) are parallel.

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Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-5)/5 .

The distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/2=(y+1)/4=(z-2)/12 and the plane x-y+z=5 is

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the point of intersection of the lines  (x-1)/(2)=(y-2)/(3)=(z-...

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  2. The work done by the force vecF=ahati+hatj+hatk in moving the point...

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  6. If the edges  veca=-3veci+7vecj+5veck , vecb=-5veci+7vecj-3veck ,...

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  7. If vecx.veca=0 , vecx.vecb=0 , vecx.vecc=0 and vecxnevec0 ...

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  8. The volume of the parallelepiped whose edges are represented by -12 ha...

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  9. Prove that |vecavecbvecc|=abc   if and only if veca , vecb , ...

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

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

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

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

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

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

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

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

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

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

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

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

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