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

If the lines `(x-1)/-3 = (y-2)/2k = (z-3)/2` and `(x-1)/3k = (y-1)/1 = (z-6)/-5` are perpendicular, find the value of k

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If the lines: (x-1)/-3=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)/5 are perpendicular, find the values of k and hence find the equation of plane containing these lines.

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Show that the lines (x-1)/2=(y-3)/-1=(z)/-1 and (x-4)/3=(y-1)/-2=(z+1)/-1 are coplanar.

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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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