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Show that the line of intersection of the planes ` vec r.( hat i+2 hat j+3 hat k)=0` and `vec r.(3 hat i+2 hat j+ hat k)=0` is equally inclined to `ia n dkdot` Also find the angle it makes with `jdot`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. Find the vector equation of the following planes in Cartesian form:...

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  3. Show that the line of intersection of the planes vec r.( hat i+2 ha...

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  4. Find the equation of the plane such that image of point (1,2,3) in ...

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  5. The foot of the perpendicular drawn from the origin to a plane is (...

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  6. Find the angle between the planes 2x+y-2z+3=0a n d 6x−2y+3z=5

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  7. Find the equation of the plane passing through (3,4,-1), which is p...

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

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  9. Find the equation of the plane passing through the point (-1,3,2) an...

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  10. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

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

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  14. Find the radius of the circular section of the sphere | vec r|=5 by...

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  15. A point P(x ,y ,z) is such that 3P A=2P B , where Aa n dB are the p...

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

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

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

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

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

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