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If a line makes an angle alpha, beta, ga...

If a line makes an angle `alpha, beta, gamma` with x axis, y axis and z axis , then : `sin^2 alpha+ sin^2 beta+ sin^2 gamma =.......`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Prove that the S.D. between a diagonal of a rectangular parallelopiped...

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  2. What is the equation of the xy-plane?

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  3. If a line makes an angle alpha, beta, gamma with x axis, y axis and z ...

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  4. Write the direction cosines of the vector : 2hati+2hatj+3hatk

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  5. Find the vector equation of the line (x+4)/3=(y+3)/7=(z-5)/2

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  6. Find the equation of a st line through (3,1,-5) and equally inclined t...

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  7. The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ........

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  8. Find the distance of the plane x-3y+2z-8=0 from the origin.

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  9. Find the intercepts cut off by the plane x+4y-2z=8 with the axes.

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  10. Find the equation of the plane with intercept 9 on the y axis and para...

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  11. What is the point of intersection of the line x=y=z with the plane x+2...

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  12. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  13. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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

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

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

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

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  18. The reflection of the point (alpha,beta,gamma) in the xy-plane is:

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  19. Distance between the point (0,1,7) and the plane 3x+4y+1=0 is:

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  20. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

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