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If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3...

If the lines `(x-1)/(-3)=(y-2)/(-2k)=(z-3)/2` and `(x-1)/k=(y-2)/1=(z-3)/5` are perpendicular, find the value of `k` and hence find the equation of plane containing these lines.

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Show that the plane whose vector equation is vec rdot( hat i+2 hat j=...

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  2. Find the vector equation of the plane passing through the points (3, ...

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  3. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

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  4. Find the vector equation of the plane passing through three points w...

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  5. Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-...

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  6. Find the equation of a plane which passes through the point (3, 2, ...

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  7. Find the shortest distance between the lines (x-2)/(-1)=(y-5)/2=(z-0)/...

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  8. Find the shortest distance between the lines , (x-1)/2=(y-3)/4=(z+2)/1...

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  9. Find the length and the foot of the perpendicular from the point (7...

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  10. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

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  11. Find the reflection of the point (1,\ 2,\ -1) in the plane 3x-5y+4z=5.

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  12. Find the coordinates of the foot of the perpendicular drawn from the ...

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  13. Find the coordinates of the foot of the perpendicular from the point ...

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  14. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  15. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  16. Find the co-ordinates of the foot of perpendicular and the length of p...

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  17. Find the distance of the point with position vector -hat i-5 hat j-10...

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  18. Find the length and the foot of the perpendicular from the point (1, 1...

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  19. Find the coordinates of the foot of the perpendicular and the perpe...

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  20. Find the direction cosines of the unit vector perpendicular to the pla...

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