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Find the vector equation of the plane ...

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.

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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

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k) .

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

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

Find the shortest distance between the lines whose vector equations are -> r=(1-t) hat i+(t-2) hat j+(3-2t) hat k and -> r=(s+1) hat i+(2s-1) hat j-(2s+1) hat k

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the unit vector of the vector vec(r ) = 4hat(i) - 2hat(j) + 3 hat(k)

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

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the equation of a plane through the intersection of the planes v...

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  2. Find the vector equation of the following plane in non-parametric fo...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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