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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(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

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 -> 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)

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 the lines: vec r=6 hat i+2 hat j+2 hat k+lambda\ ( hat i-2 hat j+2 hat k) and vec r=-4 hat i- hat k+mu\ (3 hat i-\ 2 hat j-\ 2 hat k)

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 .

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 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)

The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k) and plane vec rdot( hat i+5 hat j+ hat k)=5.

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.

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the equation of the lines joining the following pairs of vertices...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Write the value of lambda for which the lines (x-3)/(-3)=(y+2)/(2lambd...

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  18. Write the formula for the shortest distance between the lines vec r=...

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  19. Write the condition for the lines vec r= vec a1+lambda vec b1 a n d...

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  20. The Cartesian equations of a line AB are (2x-1)/(sqrt(3))=(y+2)/2=(z-3...

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