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Find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : `x+2y+3z-7=0 and 2x-3y+4z=0`

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the coordinates of the point where the line through (5,1,6) and (...

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  2. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  3. Find the equation of the plane passing through the point (1,1,-1) and ...

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  4. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr*...

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  5. Find the equation of the plane passing through the line of intersectio...

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  6. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  7. Find the equation of the plane which contains the line of intersection...

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  8. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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

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

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

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

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

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

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

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

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

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