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

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

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

Find the equations of the plane which contains the line of intersections of the planes vecr.(hati-2hatj+3hatk)-4=0 and vecr.(-2hati+hatj+hatk)+5=0 and whose intercept on x-axis is equal to the on y-axis.

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

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

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

Find the equation of the plane passing through the line of intersection of the planes : vecr*(hati+3hatj)-6=0 and vecr*(3hati-hatj-4hatk)=0 , whose perpendicular distance form origin is unity.

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

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vecr cdot(hati+2hatj-5hatk) + 9 = 0

Find the vector equation of the plane passing through the intersection of the planes : vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2 and perpendicular to the veca=5hati-2hatj+3hatk .

PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. Find the angle between the lines whose direction ratios are a, b, c an...

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  2. Find the equation of a line parallel to x-axis and passing through the...

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  3. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

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  4. If the lines (x-1)/-3 = (y-2)/2k = (z-3)/2 and (x-1)/3k = (y-1)/1 = (z...

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  5. Find the vector equation of the line passing through (1, 2, 3) and per...

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  6. Find the equation of the plane passing through (a, b, c) and parallel ...

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  7. Find the shortest distance between the lines given by the line : vec...

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  8. Find the coordinates of that point when the line passing through two p...

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  9. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  10. Find the equation of the plane passing through the point (-1, 3, 2) an...

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  11. If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane ...

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  12. Find the equation of the plane passing through the line of intersectio...

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  13. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  14. Find the equation of the plane which contains the line of intersection...

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  15. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  16. Find the vector equation of the line passing through (1, 2, 3) and par...

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  17. Find the equations of the straight line passing through the point (1, ...

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  18. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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  19. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  20. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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