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Find the equations of the straight line ...

Find the equations of the straight line passing through the point (1, 2, - 4) and is perpendicular to the lines : `(x-8)/3=(y+19)/-16=(z-10)/7` and `(x-15)/3=(y-29)/8=(z-5)/-5` .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  2. Find the vector equation of the line passing through (1, 2, 3) and par...

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  3. Find the equations of the straight line passing through the point (1, ...

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  4. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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

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

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

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

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

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

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

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

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  14. Direction cosines of hat i are ‘

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

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

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

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

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

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