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Find the distance between the line `(x+1)/(-3)=(y-3)/2=(z-2)/1` and the plane `x+y+z+3=0.`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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  3. Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and t...

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  8. Find the shortest distance between lines vec r=( hat i+2 hat j+ hat...

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  9. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a ...

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

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  12. Find the unit vector perpendicular to the plane vec r.(2 hat i+ ha...

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

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

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

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

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

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

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

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