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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 .(6 hati-3 hatj+2 hatk)=4`

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The distance of the point (4, 2, 3) from the plane vecr.(6hati+2hatj-9hatk)=46 is

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

Find the distance of the point (-1,-5,-10) from the point of intersecțion of the line vecr=(2 hati-hatj+2 hatk)+lambda(3 hati+4 hatj+ 2 hatk) and the plane vecr .(hati-hatj+hatk)=5

Find the position vector of the point where the line vec r = hati - hatj +hatk + t (hati + hatj -hatk ) meets the plane vecr. (hati + hatj + hatk ) =5

Find the equation of the plane which contains the line of intersection of the planes vecr .(hati+2 hatj+3 hatk)-4 =0 , vecr .(2 hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr .(5 hati+3 hatj-6 hatk)+8=0

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

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

Find the cartesian equation fo the following planes. vecr.(hati+hatj-hatk)=2

Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=10. Find the distance between the given plane and the plane 6x+8y+10z=3

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the angle between the two planes 2 x+y-2 z=5 and 3 x-6 y-2 z=7 us...

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  2. Find the angle between the two planes 3 x-6 y+2 z=7 and 2 x+2 y-2 z=5

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  3. Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 h...

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  4. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  5. Determine the direction cosines of the normal to the plane and the dis...

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  6. Find the vector equation of a plane which is at a distance of 7 units...

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  7. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

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  8. Find the vector and cartesian equations of the planes a) that passes ...

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  9. Find the equation of the planes that pass through the points.. (1, 1,...

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  10. Find the intercepts cut off by the plane 2x + y - z = 5

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  11. Find the equation of the plane with intercept 3 on the y-axils and ...

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  12. Find the equation of the plane through the intersection of the planes ...

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  13. Find the vector equation of the plane passing through the intersection...

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  14. Find the vector equation of the plane through the line of intersection...

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  15. Find the angle between the planes whose vector equations are vecr.(2h...

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  16. A line makes angles angle, beta, gamma and delta with the diagonals of...

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  17. Find the equation of the plane that contains the point (1, -1, 2) and ...

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  18. Find the distance between the point P(6, 5, 9)and the plane determine...

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  19. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  20. Find the coordinates of the point where the line through the points...

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