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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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A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the direction cosines of the sides of the triangle whose vertices...

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  2. Find direction cosines of the line passing through the poins P(-2, 4, ...

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  3. Show that the three lines with direction cosines (12)/13, (-3)/13, (-4...

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

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  5. Find the equation of the line through the points (-1, -2, 1) and (1, 2...

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  6. Find the equation of the line which passes through the point '(1,2,3)'...

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  7. Find the equation of the line in vector and in cartesian form that pas...

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  8. Find the cartersian equation of the line which passes through the poin...

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  9. The cartestian equation of a line is (x-5)/3=(y+4)/7=(z-6)/2. Write it...

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  10. Find the vector and the cartesian equation of the lines that passes th...

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  11. Find the vector and the cartesian equations of the lines that passes t...

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  12. Find the angle between the pair lines barr=2i-5j+k+lambda(3i+2j+6k) ...

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  13. Find the angle between the following pairs of lines.vecr = 3hati+hatj-...

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  14. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

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  15. Find the angle between the following pairs of lines.(x)/2=(y)/2=(z)/1 ...

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  16. Find the values of p so that the lines (1-x)/3 = (7y-14)/(2p) = (z-3)/...

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  17. Find the shortest distance between the lines whose vector equations ...

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  18. Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hat...

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  19. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

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  20. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

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