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In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them: `2x+y+3z-2=0 and x-2y+5=0`

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In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them: 2x-y+3z-1=0 and 2x-y+3z+3=0

In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 2x+y+3z-2 = 0 and x-2y+5 = 0

In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them: 7x+5y+6z+30=0 and 3x-y-10z+4=0

ਪIn the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 2x-y+3z-1 = 0 and 2x-y+3z+3 = 0

In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them: 2x-2y+4z+5=0 and 3x-3y+6z-1=0

In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 4x+8y+z-8 = 0 and y+z-4 = 0

In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 2x-2y+4z+5 = 0 and 3x-3y+6z-1 = 0

In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them: 7x+5y+6z+30 = 0 and 3x-y-10z+4 = 0

Find the angle between them 2x-y+3z-1=0 and 2x-y+3z=0.

Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0 ,

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the planes whose vector equations are vecr cdot...

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

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

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

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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 case, determine whether the given planes are parallel...

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

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

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

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

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

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

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  13. Find the angle between the lines whose direction ratios are : a,b,c...

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

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

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

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

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

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  19. Find the shortest distance between the following lines whose vector eq...

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  20. Find the coordinates of the points where the line through (5,1,6) and ...

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