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Show that the three lines with direction...

Show that the three lines with direction cosines `(12)/(13),(-3)/(13),(-4)/(13);4/(13);(12)/(13),3/(13);3/(13),(-4)/(13),(12)/(13)` are mutually perpendicular.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the Cartesian equations of the line passing through the point (-1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the angle between the following pairs of line: (x-5)/1=(2y+6)/(-2...

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

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  19. Find the angle between the pairs of lines with direction ratio prop...

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  20. Find the angle between the pairs of lines with direction ratio prop...

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