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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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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the shortest distance between the lines l1 and l2 barr=hati+hatj+...

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  2. Find the distance between the lines l1 and l2, given by barr=hati+2 h...

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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 points (4, 7, 8), (2, 3, 4)is parallel...

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  6. The equation of the line which passes through the point (1,2,3) and pa...

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

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  9. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

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  10. Find the Cartesian equation of the line passing through origin and (5,...

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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 following pairs of lines: i) vecr=2 hati-5...

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

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

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

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  16. Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j...

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  17. Find the shortest distance between the lines: (x+1)/7=(y+1)/(-6)=(z+1)...

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  18. Find the shortest distance between the lines whose vector equations ar...

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  19. Find the shortest distance between the lines whose vector equations a...

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  20. Find the vector equation of the plane which is at a distance of 6/(sqr...

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