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Find the distance of the point P(-1,-5,-...

Find the distance of the point `P(-1,-5,-10)` from the point of intersection of the line joining the points `A(2,-1,2)a n dB(5,3,4)` with the plane `x-y+z=5.`

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

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  2. Show that the lines vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat ...

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  3. Find the distance of the point P(-1,-5,-10) from the point of intersec...

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

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  5. Show that the plane whose vector equation is vec r*( hat i+2 hat j= h...

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  6. Find the equation of the plane passing through the point (0,7,-7) and...

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  7. Find the equation of the plane passing through the points (1,-1,2)a n ...

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  8. Find the equation of the plane passing through the point whose coor...

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  9. Find the equation of the plane passing through the point (1,1,-1)a n d...

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  10. Find the equation of the plane passing through the point (-1,-1,2)a n ...

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  11. Find the angle between the planes x+y+2z=9a d n2x-y+z=15.

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  12. If the angle between the planes vec rdot.(2 hat i- hat j+lambda hat k...

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  13. Find the vector equation of the plane passing through the points 3 hat...

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  14. Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a ...

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  15. Find the vector equation of the plane passing through the points (1,1,...

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  16. Find the vector equation of the plane passing through the points A(a ,...

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  17. Reduce the equation vec r (dot(3 hat i-4 hat j+12 hat k ))=5 to norma...

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  18. Find the vector equation of a plane which is at a distance of 8 units ...

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  19. Find the direction cosines of perpendicular from the origin to the ...

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

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