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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`

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

By computing the shortest distance determine whether the following pairs of lines intersect or not : vec r=( hat i- hat j)+lambda(2 hat i+ hat k)a n d\ vec r=(2 hat i- hat j)+mu( hat i+ hat j- hat k)dot

By computing the shortest distance determine whether the following pairs of lines intersect or not: vec r=( hat i- hat j)+lambda(2 hat i+ hat k)a n d vec r=(2 hat i- hat j)+mu( hat i+ hat j- hat k) vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat j)a n d vec r=(4 hat i- hat k)+mu(2 hat i+3 hat k) . (x-1)/2=(y+1)/3=za n d(x+1)/5=(y-2)/1; z=2 (x-5)/4=(y-7)/(-5)=(z+3)/(-5)a n d(x-8)/7=(y-7)/1=(z-5)/3 .

By computing the shortest distance determine whether the following pairs of lines intersect or not: vec r=( hat i- hat j)+lambda(2 hat i+ hat k)a n d vec r=(2 hat i- hat j)+mu( hat i+ hat j- hat k) vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat j)a n d vec r=(4 hat i- hat k)+mu(2 hat i+3 hat k) . (x-1)/2=(y+1)/3=za n d(x+1)/5=(y-2)/1; z=2 (x-5)/4=(y-7)/(-5)=(z+3)/(-5)a n d(x-8)/7=(y-7)/1=(z-5)/3 .

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)

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
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  2. Find the shortest distance between the following pairs of line whose ...

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  3. Find the shortest distance between the following pairs of line whose ...

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  4. Find the shortest distance between the following pairs of line whose ...

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  5. Find the shortest distance between the lines whose vector equations ar...

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  6. Find the shortest distance between the lines whose vector equations...

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  7. Find the shortest distance between the following pairs of line whose v...

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  8. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/...

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  9. Find the shortest distance between the following pair of lines and h...

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  10. Find the shortest distance between the following lines: (x-3)/1=(y-5)/...

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  11. By computing the shortest distance determine whether the following p...

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  12. Determine the shortest distance between the pair of lines : vec r=( h...

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  13. Find the shortest distance between the following pair of lines: (x...

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  14. 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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  15. Find the shortest distance between the parallel lines whose equatio...

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

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

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

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

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

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