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Show that the lines (x-1)/(1) = (y)/(...

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

A

perpendicular

B

parallel

C

perpendicular and parallel

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Here `a_(1) = 1, b_(1) = -5, c_(1) = 3`
`a_(2) = 7, b_(2) = 2, c_(2) = 1`
Now, `a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)=(1)(7)+(-5)(2)+(3)(1)`
`= 7-10+3`
` = 0`
Therefore given lines are perpendicular.
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NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Miscellaneous Exercise
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