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

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

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

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 shortest distance between lines vec r=( hat i+2 hat j+ hat k)+lambda(hat i- hat j+hat k)a n d vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)dot

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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)

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Find the shortest distance between the following lines: vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k) and vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the foot of the perpendicular from (1,2,-3) to th lin (x+1)/2=(y-...

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  2. Find the length of the perpendicular drawn from the point (5,4,-1) ...

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  3. Find the shortest distance between the lines vec r=(4 hat i- hat j)+l...

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  4. Find the coordinates of the foot of perpendicular drawn from th poi...

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  5. By computing the shortest distance determine whether the following ...

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  6. Find the foot of the perpendicular drawn from the point 2 hat i- ha...

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  7. By computing the shortest distance determine whether the following ...

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  8. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  9. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its directi...

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  10. Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersecrs the li...

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  11. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

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  12. Find the Cartesian equation of a line passing through the points A(2,\...

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  13. Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 h...

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  14. Find the vector and Cartesian equations of the line through the point ...

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  15. Find the vector equation of the line passing thought the points (-1,\ ...

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  16. Find the vector equation of a line which is parallel to the vector 2 h...

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  17. A line passes through the point with position vector 2 hat i-3 hat j+4...

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  18. A B C D is a parallelogram the position vectors of the points A ,\ B ,...

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  19. Find the vector form as well as in Cartesian form, the equation of the...

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  20. Find the vector equation for the line which passes through the point ...

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