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Find the angle between the lines vec r=...

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

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Find the angle between the 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)dot

Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambda(3 hat i+2 hat j+6 hat k)a n d\ vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 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

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r.(2 hat i- hat j+ hat k)=4.

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)

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)

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 angel between the following pair of lines: vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k)a n d vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k) x/2=y/2=z/1a n d(x-5)/4=(y-2)/1=(z-3)/8

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 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

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the angle between two lines whose direction ratios are proport...

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  2. Find the angle between the lines (x-2)/3=(y+1)/(-2),z=2 " " "and" " " ...

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  3. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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  4. Find the vector equation of a line passing through the point with p...

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

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  6. Find the equation of the line passing through the point (1,-1,1) an...

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  7. Find the equation of the line passing through the point hat i+ ha...

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  8. Find the equation of a line passing through (1,-1,0) and parallel to t...

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  9. Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 ...

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  10. Find the distance from the point P(3,8,1) to the line (x-3)/3=(y+7)/(...

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  11. Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 inters...

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  12. Find the value of lambda so that the following lines are perpendicular...

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  13. Find the foot of the perpendicular from (1,2,-3) to th lin (x+1)/2=(y-...

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

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

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

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

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

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

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

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