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Find the equation of the plane through the line of intersection of the planes given by the equations x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane given by the equation x - y + z = 0.

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Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4 and 2x + y - z = -5 which is perpendicular to the plane given by the equation 5x + 3y + 6z = -8.

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Find the equation of the plane through the line of intersection of the planes given by the equations x + 2y + 3z = 4, 2x + y - z = - 5 which is perpendicular to the plane given by the equation 5x + 3y + 6z·= - 8 .

Find the equation of the plane through the line of intersection of the planes given by the.equations 2x + 3y - z = - 1 and x + y- 2z = - 3 which is perpendicular to the plane given by the equation 3x-y-2z= 4.

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2 = 0 and the point (2, 2, 1).।

Find the equation of the plane through the intersection of the planes : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2, 2, 1 ).

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0 and x-y+z+3=0 and passing through the origin.

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PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. Find the equation of the plane through the intersection of the planes ...

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

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  3. Find the equation of the plane through the line of intersection of the...

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  4. Find the angle between the planes whose vector equations are vecr cdot...

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  5. In the following case, determine whether the given planes are parallel...

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  6. In the following case, determine whether the given planes are parallel...

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  7. In the following case, determine whether the given planes are parallel...

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  8. ਪIn the following case, determine whether the given planes are paralle...

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  9. In the following case, determine whether the given planes are parallel...

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  10. In the following case, find the distance of each of the given point fr...

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  11. In the following case, find the distance of each of the given point fr...

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  12. In the following case, find the distance of each of the given point fr...

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  13. In the following case, find the distance of each of the given point fr...

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  14. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  15. If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually...

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  16. Find the angle between the lines whose direction ratios are a, b, c an...

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

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

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

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

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