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Find the angle between the lines vec r=...

Find the angle between the lines ` vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k)` and the plane ` vec r.(2 hat i- hat j+ hat k)=4.`

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Show that the line vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)...

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  2. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

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  3. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

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  4. Find the angle between the lines x-2y+z=0=x+2y-2za n dx+2y+z=0=3x+9y+5...

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  5. Find the distance between the parallel planes, vec r.(2 hat i-3 hat j...

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  6. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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  7. Find the distance between the parallel planes vec r.( hat i+2 hat j+3...

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

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

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

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

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

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

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

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

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

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

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

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

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

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