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

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MODERN PUBLICATION-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 intersection of the planes ...

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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 determine whether the given planes are parallel or pe...

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  6. In the following determine whether the given planes are parallel or pe...

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  7. In the following determine whether the given planes are parallel or pe...

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  8. In the following determine whether the given planes are parallel or pe...

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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 , find the distance of each of the given points from ...

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  12. In the following , find the distance of each of the given points from ...

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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...

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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)/(3k)=(y-2)/(2)=(z+3)/1 and (x-1)/(2)=(y-1)/(k)=(z-...

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

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