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Show that the line through the points :
(a) (1, -1, 2), (3,4,-2) is perpendicular to the line through the points (0,3,2) and (3, 5,6)
(b) (4,7,8) , (2,3,4) is parallel to the line through the points (-1, -2, 1 ) and (1,2,5) .

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (B) (SHORT ANSWER TYPE QUESTIONS )
  1. Show that the three lines with direction cosines (12)/(13),(-3)/(13),...

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  2. Express the following equation of the lines into vector form : (x -...

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  3. Find the cartesian as well as the vector equation of the line passing ...

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  4. (A) The cartesian equations of a line are : (i) (x - 5)/(3) = (y + ...

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  5. (A) find the equation of a line parallel to x-axis and passing through...

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  6. (A ) Find the vector and cartesian equations of the line through the p...

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

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  8. Find the vector equation of the line passing thought the points (-1,\ ...

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  9. Find the vector and cartesian equations of the line that passes throug...

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  10. (A ) Find the equation of a st. line through (-1,2,3) and equally incl...

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  11. Find the angle between the pairs of lines with direction-ratios : (...

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  12. The angle between a line with direction ratios proportional to 2, 2, ...

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  13. Find the angle between the following pairs of lines : (i) vec(r) = ...

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  14. Show that the lines : (i) (x -5)/(7) = (y + 2)/(-5) = (z)/(1) " " a...

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  15. (i) Find the value of 'p' so that the lines : l(1) : (1 - x)/(3) = (...

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

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