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If two lines are perpendicular to a thir...

If two lines are perpendicular to a third line, then the direction ratios of the two lines are proportional.

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If l, m, n be there real numbers proportional to the direction cosines...

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  2. If alpha, beta, gamma  be any three arbitrary angles then cos alpha, c...

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  3. If two lines are perpendicular to a third line, then the direction rat...

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  4. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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  5. Show that points (0,1,2),(2,5,8),(5,6,6) and (3,2,0) from a parallelog...

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  6. Find the co-ordinates of the foot of the perpendicular from the point ...

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  7. Find the co-ordinates of the point where the perpendicular from the or...

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  8. Prove that the points P(3,2,-4),Q(5,4,-6) and R(9,8:-10) are collinea...

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  9. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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  10. If A, B, C, D are the points (6,3,2), (3,5,7), (2,3,-1) and (3,5,-3) r...

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  11. The projection of a line segment overline(OP), through origin O, on th...

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  12. The projection of a line segment of x, y and z-axis respectively are 1...

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  13. If A, B, C are the points (1, 4, 2), (-2,1,2) and (2,-3,4) respectivel...

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  14. Find the acute angle between the lines passing through (-3, -1, 0), (2...

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  15. Prove the following by vector method. Measure of the angle between two...

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  16. Prove the angle between the diagonal of one of the faces of the cube a...

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  17. Find the angle which a double ordinate of length 2a subtends at its ve...

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  18. Find the angle between the lines whose dcs. L, m, n are connected by t...

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  19. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  20. State Ture or False .Through any four points one and only one plane c...

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