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The equation of a line, which is paralle...

The equation of a line, which is parallel to `2hati+hatj+3hatk` and which passes through the point (5,-2,4) is `(x-5)/(2)=(y+2)/(-1)=(z-4)/(3)`

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. True or false The distance of the point (-2,4,-5) from the line (x+3)/...

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  2. Find equation of a plane passing through the points (2,1,0),(3,-2,-2) ...

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  3. The equation of a line, which is parallel to 2hati+hatj+3hatk and whic...

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  4. True or false If the foot of perpendicular drawn from the origin to a ...

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  5. Direction cosines of x-axis are

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  6. Direction cosines of any normal to xy-plane are

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  7. Distance of the point (alpha, beta,gamma) from y-axis is

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  8. The distance of a point P(a,b,c) from x axis is:

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  9. If the direction cosine of a line are < k,k,k >, then,

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  10. If a line makes angles alpha,beta,gamma respectively with positive dir...

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  11. Distance of the point (alpha, beta,gamma) from y-axis is

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  12. The co-ordinates of foot of the perpendicular drawn from the point (2,...

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  13. The equation of x-axis is of the form

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  14. A set of D.R of the line vecr=(hati+hatj+hatk)+1(2hati+3hatj+6hatk)are

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  15. If alpha, beta, gamma are the angles that a line makes with the positi...

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  16. P is a point on the line segment joining the points (3, 2, -1) and (6,...

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  17. The shortest destance between vecr = veca1 + lambdavecb and vecr = vec...

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  18. The area of the quadrilateral ABCD, where A 0,4, 1), B (2, 3, -1), C (...

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  19. The line x=1, y=2 is

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  20. The distance between the planes 3x+2y-6z=14=0 and 3x+2y-6z+21=0 is

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