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The Cartesian equations of a line are 3x...

The Cartesian equations of a line are `3x+1=6y-2=1-z ,` find the fixed point through which it passes, its direction ratios and also its vector equation.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Show that the points whose position vectors are -2 hat i+3 hat j ,\ h...

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  2. Find the Cartesian and vector equations of a line which passes through...

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  3. The Cartesian equations of a line are 3x+1=6y-2=1-z , find the fixed p...

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  4. Prove that the line x=a y+b ,\ z=c y+d\ a n d\ x=a^(prime)y+b^(prime),...

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  5. Find the equation of a line passing through a point (2, -1, 3) and p...

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  6. Find the Cartesian equations of the line passing through the point (-1...

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  7. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

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  8. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

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  9. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

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  10. Show that the line through the point (4, 7, 8) and (2, 3, 4) is par...

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  11. Find the Cartesian equation of the line with passes through the point ...

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  12. Show that the lines (x-5)/7=(y+2)/(-5)=z/1andx/1=y/2=z/3 are perpendic...

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  13. Show that the line joining the origin to the point (2, 1, 1) is per...

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  14. Find the equation of a line parallel to x-axis and passing through the...

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  15. Find the angle between the following pairs of lines: -> r=(4 hat i- h...

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  16. Find the angle between the following pairs of lines: -> r=(3 hat i+2 ...

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  17. Find the angle between the following pairs of lines: -> r=lambda( hat...

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  18. Find the angle between the following pairs of line: (x+4)/3=(y-1)/5=(z...

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  19. Find the angle between the following pairs of line: (x-1)/2=(y-2)/3=(z...

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  20. Find the angle between the following pairs of line: (5-x)/(-2)=(y+3)/1...

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