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Find the equations of the plane that passes through three points : (1,1,-1), (6,4,-5), (-4,-2,3)

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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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  2. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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  3. Find the equations of the plane that passes through three points : (1,...

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  4. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  5. Find the intercepts cut off by the plane 2x+y-z = 5

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  6. Find the vector equation of the plane through the intersection of the ...

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  7. Find the vector equation of plane passing through the intersection of ...

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  8. Find the equation of the plane through the intersection of the planes ...

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

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  10. Find the angle between the planes whose vector equations are vec(r)(...

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  11. Find the vector equation of plane that passes through the point (1,0,-...

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  12. If a line has direction ratios -18,12,-4, then what are its direction ...

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  13. Find the direction cosines of the sides of the triangle whose vertices...

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  14. A line passes through the point with position vector 2hat(i)-hat(j)+4h...

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  15. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

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  16. Find the cartesian equation of the line which passes through the point...

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

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  18. Find the vector and the cartesian equations of the line that passes th...

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  19. Find the angle between the pair of lines vec(r)=2hat(i)-5hat(j)+hat(...

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  20. Find the angle between the pairs of lines vec(r)=3hat(i)+hat(j)-2hat...

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