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Find the equation of plane which is at a distance `4/(sqrt(14))` from the origin and is normal to vector `2 hat i+ hat j-3 hat kdot`

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a ...

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  2. Determine whether the following pair of lines intersect or not. (1...

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  3. Find the equation of plane which is at a distance 4/(sqrt(14)) from...

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  4. Find the unit vector perpendicular to the plane vec rdot(2 hat i+ ...

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  5. If the straight lines x=-1+s ,y=3-lambdas ,z=1+lambdasa n dx=t/2,y=1+t...

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  6. Find the equation of a line which passes through the point (1,1,1) ...

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  7. Find the vector equation of a line passing through 3 hat i-5 hat j+7...

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  8. Find the equation of the plane passing through the point (2,3,1) ha...

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  9. Find the equation of the plane through the points (2, 3, 1) and (4, -5...

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  10. Find the equation of the image of the plane x-2y+2z-3=0 in plane x+...

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  11. Find the equation of a plane which passes through the point (1, 2, 3) ...

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  12. Find the equation of a plane which is parallel to the plane x-2y+2z=5 ...

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  13. Find the direction ratios of orthogonal projection of line (x-1)/(1)=(...

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  14. Find the equation of the plane which passes through the point (1,2,...

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  15. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

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  16. Find the equation of the plane passing through the line (x-1)/(5)=(y+2...

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  17. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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  18. Find the equation of the plane passing through the straight line (x...

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  19. Find the equation of the line drawn through the point (1, 0,2) to meet...

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  20. If vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk) and vecr=(hati+2hatj...

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