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Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the ZX-plane.

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Find the coordinates of the points where the line through (5,1,6) and (3,4,1) crosses YZ-plane.

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Find the coordinates of the point where the line through (3, 4, 1) and (5, 1, 6) crosses XY-plane.

Find the co-ordinates of the point P, where the line through A(3,-4,-5) and B(2,-3,1) crosses the plane passing through three points L(2,2,1), M(3,0,1) and N(4,-1,0). Also, find the ratio in which P divides the line segment AB.

Find the coordinates of the point where the line through (3, – 4, – 5) and (2, – 3, 1) crosses the plane 2x+y+z=7

Find the coordinate of the point where the line through the points A(3,4,1) and B(5,1,6) crosses the zx-plane

Find the coordinates of the point where the line through the points A(3,4,1) and B(5,1,6) crosses the XY-plane.

Find the coordinate of the point where the line through the points A(3,4,1) and B(5,1,6) crosses the xy-plane

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

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

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

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  4. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  5. Find the equation of the plane passing through the point (1,1,-1) and ...

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

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  7. Find the equation of the plane passing through the line of intersectio...

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  8. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  9. Find the equation of the plane which contains the line of intersection...

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  10. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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

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  12. Find the equations of the straight line passing through the point (1, ...

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  13. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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  14. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  15. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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  16. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  17. The vector equation of the line through the points (3, 4, - 7) and (1,...

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  18. Fill ups Equations of a line containing the points (0,0,0) and (1,2,-3...

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  19. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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  20. Fill ups If the lines (x-1)/2=(y+2)/-3=(z-4)/lambda and x/1=y/-2=z/2 a...

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