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Find the angle between the line -> r=(2...

Find the angle between the line ` -> r=(2 hat i+3 hat j+9 hat k)+lambda(2 hat i+3 hat j+4 hat k)` and the plane ` -> r(dot( hat i+ hat j+ hat k))=5.`

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Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k ) and the plane vec r.(hat i + hat j + hat k)=3

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The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k) and plane vec rdot( hat i+5 hat j+ hat k)=5.

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Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambda(3 hat i+2 hat j+6 hat k)a n d\ vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)dot

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

Find the shortest distance between the lines -> r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and -> r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)

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.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the equation of the plane passing through the point A(1,\ 2,\ 1) ...

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  2. Find an equation or the line that passes through the point P(2,\ 3,\ 1...

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  3. Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda...

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

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  5. Find the angle between the line joining the points (3,\ -4,\ -2)a n d\...

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  6. The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to ...

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  7. Find the vector equation of the line through the origin which is per...

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

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  9. Find the Cartesian equation of the plane passing through the points...

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  10. Find the vector and Cartesian equations of the line passing through (1...

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  11. Prove that the line of section of the planes 5x+2y-4z+2=0\ a n d\ 2x+8...

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

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  13. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

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  14. Find the vector and Cartesian forms of the equation of the plane pas...

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  15. Find the equation of the plane passing through the point (3,4,1) an...

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  16. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

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  17. Find the vector equation of the line passing through (1, 2, 3) and p...

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  18. Find the vector equation of the line passing through (1, 2, 3 ) and ...

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  19. Find the value of lambda such that the lines (x-2)/6=(y-1)/lambda=(z+5...

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  20. Find the equation of the plane passing through the points (-1,2,0),(2,...

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