Direction ratios of the line which is perpendicular to the lines with direction ratios (-1,2,2) and (0,2,1) are

Options

A. 1,1,2
B. 2,-1,2
C. `-2,1,2`
D. 2,1,-2

Answer

B

Explanation

Let direction rati_os of a line be (a, b, c). Since, line is perpendicular to the direction rations (-1, 2, 2) and (0, 2, 1).
`therefore axx -1+bxx2+c xx 2=0 and axx0+bxx2+cxx1=0`
`Rightarrow (a)/(2-4)=(-b)/(-1-0)=(c)/(-2-0)`
`Rightarrow (a)/(-2)=(b)/(1)=(c)/(-2)`
`or (a)/(2)=(b)/(-1)=(c)/(2)`
Hence direction ratio of a line is (2,-1,2)