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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`

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Find the distance between the lines l_1 and l_2 given by vec r= hat i+2 hat j-4k+lambda(2 hat i+3 hat j+6 hat k) and vec r=3 hat i+3 hat j-5k+mu(2 hat i+3 hat j+6 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: 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 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 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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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  18. Write the vector equation of a line given by (x-5)/3=(y+4)/7=(z-6)/2

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  19. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

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  20. Find the cartesian equation of the line which passes through the poin...

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