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Show that the lines (x+3)/(-3)=(y-1)/(...

Show that the lines
`(x+3)/(-3)=(y-1)/(1)=(z-5)/5` and `(x+1)/(-1) =(y- 2)/2=(z-5)/5` are coplanar.

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If the lines (x + 3)/(-3) = (y -1)/(k) = (z - 5)/(5) and (x +1)/(-1) = (y -2)/(2) = (z -5)/(5) are coplanar, then the value of k is

If the straight lines (x - 2)/(1) = (y - 3)/(1) = (z - 4)/(0) and (x-1)/(k) = (y - 4)/(2) = (z - 5)/(1) are coplanar, then the value of k is

Find the angle between the lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2 .

Find the angle between the lines (x-3)/1=(y-1)/5=(z+3)/-3 and(x+1)/-1=(y-4)/8=(z-5)/4

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

Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+2)/-1=(y-4)/8=(z-5)/4

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane with intercepts 2, 3 and 4 on the x,...

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  2. Find the vector equation of the Plane Passing through the intersection...

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  3. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/5 and (x+1)/(-1) =(y...

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  4. Find the angle between the two planes 2 x+y-2 z=5 and 3 x-6 y-2 z=7 us...

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  5. Find the angle between the two planes 3 x-6 y+2 z=7 and 2 x+2 y-2 z=5

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  6. Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 h...

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  7. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  8. Determine the direction cosines of the normal to the plane and the dis...

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  9. Find the vector equation of a plane which is at a distance of 7 units...

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  10. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

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  11. Find the vector and cartesian equations of the planes a) that passes ...

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  12. Find the equation of the planes that pass through the points.. (1, 1,...

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  13. Find the intercepts cut off by the plane 2x + y - z = 5

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  14. Find the equation of the plane with intercept 3 on the y-axils and ...

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  15. Find the equation of the plane through the intersection of the planes ...

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

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  17. Find the vector equation of the plane through the line of intersection...

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  18. Find the angle between the planes whose vector equations are vecr.(2h...

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  19. A line makes angles angle, beta, gamma and delta with the diagonals of...

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  20. Find the equation of the plane that contains the point (1, -1, 2) and ...

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