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If the line drawn from the point (-2,-1,...

If the line drawn from the point (-2,-1,-3) meets a plane at right angles at the point (1,-3,3), find the eqution of the plane.

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Find the equation of the plane through the point (2, -1, -1), parallel to the line (x-1)/1=(y-3)/3=(z-2)/2 and perpendicular to the plane x - 2y - 3z - 4 = 0.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Write the equation to the locus of a point which is always at a fixed ...

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  2. Find the vector equations to the locus of a point whose distance from ...

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  3. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

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  4. Write the distance of the plane 2x-y+2z+1=0 from the origin.

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  5. Write the direction of cosines of the line joining the poidnts (1,0,0)...

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

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  7. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  8. Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 ...

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  9. Write down the direction cosines of the line whose equations are 5x-3=...

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  10. Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...

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  11. If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...

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  12. Find the direction cosines of a line which makes equal angles with the...

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  13. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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  14. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...

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  15. Find the direction cosines of the sides of the triangle whose vertices...

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  16. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

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  17. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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  18. Show that the line through the points (4,7,8) and (2,3,4) is parallel ...

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  19. Find the equation of the line which passes through the point (1, 2, 3)...

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  20. Find the equation of the line in vector and in cartesian form that pas...

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