A line segment has length 63 and direction ratios
are `3, -2, 6.` The components of the line vector are

Options

A. `-27, 18,54`
B. `27,-18,54`
C. `27,-18,054`
D. `-7, -18,-54`

Answer

B

Explanation

Let the component of line segment on axes are x, y and z
So `x^(2)+y^(2)+z^(2)=63^(2)` ……………(1)
Now `x/3=y/-2=z/6=k`
`therefore (3k)^(2)+(-2k)^(2)+(6k)^(2)=63^(2)`
`k=+-(63)/(7)=+-9`
`therefore` Components are
`(27,-18,54)` or `(-27, 18, -54)`