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Find the Cartesian form the equation of the plane ` vec r=(s-2t) hat i+(3-t) hat j+(2s+t) hat kdot`

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Find the Cartesian form of the equation of the following plane: vec r=( hat i- hat j)+s( hat i+ hat j+2 hat k)+t( hat i+2 hat j+ hat k)dot

Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat j+(3-2s+2t) hat k in non-parametric form.

Find the Cartesian form of equation of a plane whose vector equation is : vec rdot((- hat i+ hat j+2 hat k)=9

Find the Cartesian equation of the following planes: (a) -> rdot( hat i+ hat j- hat k)=2 (b) -> rdot(2 hat i+3 hat j-4 hat k)=1 (c) -> rdot[(s-2t) hat i+(3-t) hat j+(2s+t) hat k]=15

Find the Cartesian form of equation of a plane whose vector equation is : vec rdot((12 hat i-3 hat j+4 hat k)+5=0

Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(1-t) hat i+(t-2) hat j+(3-t) hat k a n d\ vec r=(s+1) hat i+(2s-1) hat j-(2s+1) hat k

Write the direction cosines of the vector vec r=6 hat i-2 hat j+3 hat kdot

Find a unit vector in the direction of the vector vec a=3 hat i-2 hat j+6 hat kdot

Find the vector equation of the following planes in Cartesian form: vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector equation of the following plane in non-parametric fo...

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  2. Find the vector equation of the plane vec r=(1+s-t) hat i+(2-s) hat ...

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  3. Find the Cartesian form the equation of the plane vec r=(s-2t) hat i...

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  4. Find the vector equation of the following plane in scalar product form...

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  5. The plane x-2y+3z=0 is rotated through a right angle about the line of...

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  6. The plane l x+m y=0 is rotated through an angle alpha about its line o...

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  7. Find the vector equation of the line passing through the point (1,-1,2...

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  8. Find the vector equation of the plane passing through the intersection...

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  9. If 30 oxen can plough 1/7th of the field in 4 hrs , in how many hour w...

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  10. Find the equation of the plane through the points (1,0,-1),(3,2,2) and...

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  11. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  12. Show that the line whose vector equation is vec r=(2 hat i-2 hat j+3)...

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  13. Show that the line whose vector equation is vec rdot(2 hat i+5 hat j-...

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  14. Find the vector equation of the line passing through the point (1,-1,2...

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  15. Show that the line vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)...

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

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

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

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

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