WBJEE · Maths · Three Dimensional Geometry
The straight line \(\frac{x-3}{3}=\frac{y-2}{1}=\frac{z-1}{0}\) is
- A parallel to the x-axis
- B parallel to the \(y\)-axis
- C parallel to the z-axis
- D perpendicular to the \(z\)-axis
Answer & Solution
Correct Answer
(D) perpendicular to the \(z\)-axis
Step-by-step Solution
Detailed explanation
The given equation of the straight line is: \((x-3) / 3=(y-2) / 1=(z-1) / 0\) The direction ratios of this line are 3,1, and 0. A line parallel to the \(z\)-axis has direction ratios 0,0, and 1. If the dot product of the direction ratios of two lines is zero, then the lines are…
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