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

Options

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

Answer

D

Explanation

Equation 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.
given equation is ` ( x - 3 ) / ( 3) = ( y - 2 ) / ( 1 ) = ( z - 1 ) / ( 0 ) `
Here, ` 3 xx 0 + 1 xx 0 + 0 xx 1 = 0 `
Hence, the line is perpendicular to Z - axis.