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Find the equation of the line through th...

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

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The correct Answer is:
The direction ratios of the two lines are 2-4, 3-7, 4-8 i.e., -2, -4, -4 and 1+1, 2+2, 5-1 i.e., 2, 4, 4 respectively.
Two lines are parallel if their direction ratios are proportional
Since `(-2)/2-(-4)/4=(-4)/4`, the two linesa are parallel.
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A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
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  2. Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

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  20. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

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