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Prove the following by vector method. Measure of the angle between two diagonals of a cube is `cos^-1 (1/3)`

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If A, B, C are the points (1, 4, 2), (-2,1,2) and (2,-3,4) respectivel...

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

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

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

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

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

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

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

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

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

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

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  12. State True or False .The planes 2x - y + z -1 = 0 and 6x - 3y + 3z = 1...

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  13. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

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  14. The distance of a point from a plane is same as the distance of the po...

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  15. The equation of a plane passing through (1, 1, 2) and parallel to x + ...

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  16. The equation of plane perpendicular to z-axis and passing through (1, ...

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  17. The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...

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  18. The plane y-z+1=0 is

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  19. A plane whose normal has direction ratios lt 3, -2, k gt is parallel t...

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  20. Find the equation of planes passing throught the points (6,-1,1), (5,1...

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