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If a line makes angle 90^(@),135^(@),45^...

If a line makes angle `90^(@),135^(@),45^(@)` with X,Y and Z-axis respectively, then its direction cosines are

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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

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  3. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  4. The vector equation of the line through the points (3, 4, - 7) and (1,...

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

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

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

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

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  10. Direction cosines of hat i are ‘

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

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

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

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

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

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

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

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

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

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

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