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If cos alpha , cos beta, cos gamma are t...

If `cos alpha , cos beta, cos gamma` are the direction-cosines of a line, then the value of `sin^2alpha + sin^2 beta + sin^2gamma =`

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The vector equation of the line through the points (3, 4, - 7) and (1,...

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  2. Fill ups Equations of a line containing the points (0,0,0) and (1,2,-3...

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  3. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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  4. Fill ups If the lines (x-1)/2=(y+2)/-3=(z-4)/lambda and x/1=y/-2=z/2 a...

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  5. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

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  6. Fill ups The direction cosines of the vector 3hati+2hatj-6hatk are…………...

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  7. Direction cosines of hat i are ‘

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  8. Fill ups The equation of the plane containing the points (2,0,0),(0,3,...

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  9. Fill ups A plane 'p' passes through the point P(1,-2,3). If O is the o...

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  10. Find the cartesian equation of the following planes. vecr.(hati+hatj-h...

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  11. If a line makes an angle of (pi)/(4) each of y and z axis, then the an...

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  12. Fill ups The equation of the plane containing the points (2,0,0),(0,3,...

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  13. Fill ups Distance of the point (4,-2,3) from Y-axis is……………… .

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  14. Fill ups Intercepts made by the plane 2x-3y+5z-30=0 on the coordinate ...

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  15. The acute angle between the planes vecr.(2hati-3hatj+hatk)=1 and vecr....

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  16. Fill ups The image of the poidnt (1,-2,3) in the plane x-2y+3z-14=0 is...

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  17. Fill ups The image of the poidnt (1,-2,3) in the plane x-2y+3z-14=0 is...

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  18. True or false The points (a,0,0),(0,b,0) and (0,0,c) are collinear (ab...

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  19. The points (1, 2, 3), (-2, 3, 4) and (7,0,1) are collinear.

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  20. The unit vector normal to the plane x+2y+3z-6=0 is (1)/(sqrt14)hati+(2...

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