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The straight line (x-3)/3=(y-2)/1=(z-1)/...

The straight line `(x-3)/3=(y-2)/1=(z-1)/0` is Parallel to x-axis Parallel to the y-axis Parallel to the z-axis Perpendicular to the z-axis

A

parallel to x-axis

B

parallel to y-axis

C

parallel to z-axis

D

perpendicular to z-axis

Text Solution

Verified by Experts

The correct Answer is:
A
Equations of `x,y` and `z`-axes are
`x/1=y/0=z/0,x/0=y/1=z/0` and `x/0=y/0=z/1` respectively.
The given lines is `(x-3)/3=(y-2)/1=(z-1)/0`
We observe that `3xx0+1xx0+0xx1=0`
Hence the line is perpendicular to z-axis.
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