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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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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of a line parallel to x-axis and passing through the...

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

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

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

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  5. Write the vector equations of the plane throught the point (a,b,c) and...

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  6. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

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

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  8. Find the coordinates of the point where the line through (5,1,6) and (...

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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 (1,1,-1) and ...

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

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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 intercepts a,b,c and is at a distance of p u...

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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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