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Find the shortest distance between the parallel lines whose equation are: ` vec r= hat i+ hat j+lambda(2 hat i- hat j+ hat k)a n d\ vec r=2 hat i+ hat j- hat k+mu(4 hat i-2 hat j+2 hat k)`

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Find the shortest distance between the parallel lines whose equation are: vec r=hat i+2 hat j+3 hat k+lambda( hat i- hat j+ hat k)a n d\ vec r=2 hat i- hat j- hat k+mu(- hat i+ hat j- hat k)

Find the shortest distance between the lines whose vector equations are: vec r=2 hat i- hat j- hat k+lambda(2 hat i-5 hat j+2 hat k)a n d\ , vec r= hat i+2 hat j+ hat k+ mu( hat i- hat j+ hat k)dot

Find the shortest distance between the lines whose vector equations are vec r= hat i+ hat j+lambda(2 hat i- hat j+ hat k) and vec r=2 hat i+ hat j- hat k+mu(3 hat i-5 hat j+2 hat k)dot

Find the shortest distance between the lines whose vector equations are -> r=( hat i+2 hat j+3 hat k)+lambda( hat i-3 hat j+2 hat k) and -> r=4 hat i+5 hat j+6 hat k+mu(2 hat i+3 hat j+ hat k) .

Find the shortest distance between the following pairs of line whose vector equation are: vec r=(3 hat i+5 hat j+7 hat k)+lambda( hat i-2 hat j+7 hat k)a n d\ vec r=- hat i- hat j- hat k+mu(7 hat i-2 hat j+ hat k)

Find the shortest distance between the following pairs of line whose vector equation are: vec r=( hat i+2 hat j+3 hat k+lambda(2 hat i+3 hat j+4 hat k)a n d\ vec r=(2 hat i+4 hat j+5 hat k)+mu(3 hat i+4 hat j+5 hat k)

Find the shortest distance between the following pairs of line whose vector equation are: vec r=3 hat i+8 hat j+3 hat k+lambda(3 hat i- hat j+ hat k)a n d\ vec r=-3 hat i-7 hat j+6 hat k+mu(-3 hat i+2 hat j+4 hat k)

Find the shortest distance between the lines: vec r= hat i+2 hat j+3 hat k+lambda( hat i-3 hat j+2 hat k)a n d\ vec r=4 hat i+5 hat j+6 hat k+mu(2 hat i+3 hat j+ hat k)dot

Find the distance between the lines l_1a n d\ l_2 given by vec r= hat i+2 hat j-4 hat k+lambda(2 hat i+3 hat j+6 hat k)a n d\ ,\ vec r=3 hat i+3 hat j-5 hat k+mu(2 hat i+3 hat j+6 hat k)dot

Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2 hat k+lambda( hat i-2 hat j+2 hat k)a n d\ vec r=-4 hat i- hat k+mu(3 hat i-2 hat j-2 hat k)dot

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-...

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  2. Find the shortest distance between the parallel lines whose equatio...

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  3. Find the shortest distance between the parallel lines whose equation ...

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  4. Find the equation of the lines joining the following pairs of vertices...

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  5. Find the equation of the lines joining the following pairs of vertices...

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  6. Write the vector equations of the following lines and hence determine ...

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  7. Find the shortest distance between the lines vec r=( hat i+2 hat j+ ...

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  8. Find the shortest distance between the lines(x+1)/7=(y+1)/(-6)=(z+1)/...

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  9. Find the shortest distance between the lines: vec r= hat i+2 hat j+3 ...

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  10. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

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  11. Find the distance between the lines l1a n d\ l2 given by vec r= hat ...

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  12. Write the Cartesian and vector equation of X-axis.

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  13. Write the Cartesian and vector equations of Y-axis.

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  14. Write the Cartesian and vector equations of Z-axis.

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  15. Write the vector equation of a line passing through a point having p...

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  16. Cartesian equation of a line A B are (2x-1)/2=(4-y)/7=(z+1)/2dot write...

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  17. Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.

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  18. Write the coordinate axis to which the line (x-2)/3=(y+1)/4=(z-1)/0 is...

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  19. Write the direction cosine of the line whose Cartesian equations are 2...

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  20. Write the angle between the lines 2x=3y=z\ a n d\ 6x=-y=-4zdot

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