Question

The straight line $\frac{x-3}{3}=\frac{y-2}{1}=\frac{z-1}{0}$ is ...A.... Here, A refers to

• A. parallel to $X$-axis
• B. parallel to $Y$-axis
• C. parallel to $Z$-axis
• D. perpendicular to $Z$-axis

Answer 1

Answer: (D)

Given line is $\frac{x-3}{3}=\frac{y-2}{1}=\frac{z-1}{0}$
Direction ratios of the line are $3,1,0$
Direction ratios of $Z$-axis are $0,0,1$
$a_1{a}_2+b_1{b}_2+c_1{c}_2$
$=(3)(0)+(1)(0)+(0)(1)=0$
Hence, given line is perpendicular to $Z$-axis.