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Find the equation of the plane passing t...

Find the equation of the plane passing through the intersection of the planes ` vecr.(hati+hatj+k)=0 ` and ` vecr(2hati-3hatj+5hatk)=2 ` and the point (-1, 2, 1).

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Find the vector equation of the plane pass ing through the intersection of the planes vecr.(hati+hatj+hatk)=6 and vecr.(2hati+3hatj+4hatk)=-5 , and the point (1,1,1).

Find the vector and cartesian equation of a plane passing through the intersection of the planes vecr.(2hati+hatj+3hatk)=7 and vecr.(2hati+5hatj+3hatk)=9 and the point (2,1,3).

Find the vector equation of the plane passing through the intersection of the two planes vecr(hati+hatj+hatk)=6 and vecr(2hati+3hatj+4hatk)=-5 and through the point (1,1,1)

Find the equation of the plane passing through the line of intersection of the plane vecr*(2hati+3hatj-4hatk)+1=0 and vecr*(hati-hatj+3hatk) =3 and through the point (1, 1, -1).

Find the vector equation of the plane passing through the intesection of the planes vecr.(2hati+2hatj-3hatk)=7, vecr.(2hati+5hatj+3hatk)=9 and through the point (2,1,3).

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to x axis.

Find the equation of the plane passing through (a,b,c) are parallel to the plane vecr.(hati+hatj+hatk)=2 .

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6 .

A unit vector parallel to the intersection of the planes vecr.(hati-hatj+hatk)=5 andvecr.(2hati+hatj-3hatk)=4 is

Find the equation of the plane passing through the intersection of the planes vecr*(2hati+3hatj)=1 and 3x-4y+3z=8 and is perpendicular to the plane x+2y-z+6=0 .

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the equation of the plane passing through the intersection of the...

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

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  3. If the position vectors of three points A, B and Care respectively v...

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  4. A force given by and 3veci+2vecj-4veck is applied at the point (1,-1...

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  5. Show that the area of a parallelogram having diagonals 3veci+vecj-2v...

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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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