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A line segment has length 63 and directi...

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

A

`-27,18,54`

B

`27,-18,54`

C

`27,-18,-54`

D

`-27,-18,-54`

Text Solution

Verified by Experts

The correct Answer is:
B
Let the components of line segment on axes are x,y and z.
So, `x^(2)+y^(2)+z^(2)=63^(2)`
Now, `(x)/(3)=(y)/(-2)=(z)/(6)=k`
`because(3k)^(2)+(-2k)^(2)+(6k)^(2)=63^(2)`
`k=+-(63)/(7)=+-9`
`therefore` Components are `(27,-18,54)` or `(-27,18,-54)`.
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