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Find the distance of the point (3, 3, 3)...

Find the distance of the point `(3, 3, 3)` from the plane ` vec r.(5 hat i+2 hat j-7 hat k)+9=0`

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Find the distance of a point (2, 5, 3) from the plane vecr.(6 hat i-3 hat j+2 hat k)=4 .

Find the distance of the point 2 hat i+ hat j- hat k from the plane vec r( hat i-2 hat j+4 hat k)=9 .

Find the distance of the point 2 hat i- hat j-4 hat k from the plane vec rdot((3 hat i-4 hat j+12 hat k)-9=0.

Find the distance of the point ( 1, 5, 10) from the point of intersection of the line -> r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane -> r=( hat i- hat j+ hat k)=5 .

The distance of the point (1,-1,1) from vec(r)*(3 hat(i) - 4 hat(j)- 12 hat(k)) + 13 = 0 is

Find the distance between the parallel planes vec r.( hat i+2 hat j+3 hat k)+7=0a n d vec r.(2 hat i+4 hat j+6 hat k)+7=0.

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vec r.( hat i+2 hat j-5 hat k)+9=0 .

Find the vector equation of the line passing through the point (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)=5 and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane vec r ( hat i- hat j+ hat k)=5.

Show that the points hat i- hat j+3 hat ka n d3( hat i+ hat j+ hat k) are equidistant from the plane vec rdot(5 hat i+2 hat j+ hat k)+9=0 and lie on opposite sides of it.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the distance between the parallel planes vec r.( hat i+2 hat j+3...

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  2. Find the equation of the plane which passes through the point (3,4,-1)...

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  3. Find the distance of the point (3, 3, 3) from the plane vec r.(5 hat ...

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  4. Find the equations of the planes parallel to the plane x+2y-2z+8=0 wh...

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  5. Find the distance between the parallel planes x+y-z+4=0a n dx+y-z+5=0.

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  6. Find the equation of the plane through the intersection of the planes ...

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  7. If the line drawn from (4,-1,2) meets a plane at right angles at the p...

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  8. If O is the origin and the coordinates of A are (a ,b , c) . Find the ...

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  9. Find the vector equation of a lane passing through a point having p...

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  10. The foot of perpendicular drawn from the origin to the plane is (4,-2,...

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  11. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

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  12. Find the equation of the plane which bisects the line segment joining ...

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  13. Find the equation of the plane passing through the point (1,-1,2) havi...

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  14. Let vec n be a vector of magnitude 2sqrt(3) such that it makes equal ...

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  15. A vector vec n of magnitude 8 units is inclined to x-axis at 45^0 ,...

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  16. A plane passes through the point (1,-2,5) and is perpendicular to the ...

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  17. Find the vector and Cartesian equations of the plane containing the tw...

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  18. Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+...

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  19. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

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  20. Equation of plane which passes through the intersection point of the l...

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