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Find the co-ordinates of the foot of the...

Find the co-ordinates of the foot of the perpendicular from the point `(1,1,1)` on the line joining `(1,4,6)` and `(5 4,4)`.

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. State True or False . The equation of xy-plane is x + y = 0.

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  19. The plane ax + by + c = 0 is perpendicular to z-axis.

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  20. The equation of the plane parallel to xz-plane and passing through (2,...

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