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The Cartesian equations of a line AB are...

The Cartesian equations of a line AB are `(2x-1)/(sqrt(3))=(y+2)/2=(z-3)/3dot` Find the direction cosines of a line parallel to AB.

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To find the direction cosines of the line AB given by the Cartesian equations: \[ \frac{2x - 1}{\sqrt{3}} = \frac{y + 2}{2} = \frac{z - 3}{3} \] we can follow these steps: ...
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RD SHARMA-STRAIGHT LINE IN SPACE -Solved Examples And Exercises
  1. Write the value of lambda for which the lines (x-3)/(-3)=(y+2)/(2lambd...

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  2. Write the formula for the shortest distance between the lines -> r= -...

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

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

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

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

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

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  8. Find the Cartesian equation of the line which passes through the point...

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  9. Find the angle between the lines -> r=(2 hat i-5 hat j+ hat k)+lambda...

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  10. Find the angel between the lines 2x=3y=-za n d6x=-y=-4zdot

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  11. The angle between the straight lines (x+1)/2=(y-2)/5=(z+3)/4a n d(x-1)...

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  12. The angle between the lines (x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3...

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  13. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

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  14. The equation of the line passing through the points a1 hat i+a2 hat j+...

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  15. If a line makes angles alpha,beta,gamma with the axes respectively teh...

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  16. If the direction ratios of a line are proportional to 1, -3, 2 then it...

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  17. If a line makes angle pi/3\ a n d\ pi/4 with x-axis and y-axis respect...

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  18. The lines 6x=3y=2z and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) re (A) paralle...

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  19. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is Parallel to x-axis Parall...

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  20. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

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