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Find the distance of a point (2,5,-3) fr...

Find the distance of a point (2,5,-3) from the plane ` vecr.(6hati-3hatj+2hatk)=5 `

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Find the distance of the point (-1,-2,3) from the plane vecr.(2hati-3hatj+4hatk)=4

Find the distance of the point (2, 1,-1) from the plane vecr.(hati-2hatj+4hatk)=9 .

Find the perpendicular distance of the point (2, -3, 3) from the plane vecr*(hati-2hatj-2hatk)=8 .

Find the shortest distance from the point (2, 10, 1) to the plane vecr ( 3 hati - hatj + 4hatk ) = 2sqrt(26)

The vector equation of the plane through the point (2,1,-1) and parallel to the plane vecr.(hati+3hatj-hatk)=0 is

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 .

Find the distance between the parallel planes vecr.(2hati-hatj-2hatk)=6 and vecr.(6hati-3hatj-6hatk)=27

Find the coordinates of the points where the straight line vecr=(hati-2hatj-2hatk)+t(4hati+3hatj+2hatk) intersects the plane x-2y+3z+9=0 .

Find the direction cosines of the normal to the plane and length of the perpendicular from the origin to the plane vecr.(3hati-4hatj+12hatk)=5 .

Find the distance between the planes vecr*(hati-2hatj-2hatk)=7 and vecr*(5hati-10hatj-10hatk)=15.

FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
  1. Find the distance of a point (2,5,-3) from the plane vecr.(6hati-3ha...

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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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