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The vector and cartesian equations of th...

The vector and cartesian equations of the line which passes through
the point (1,2,3) and is parallel to the vector `hati-2hatj+3hatk` are

A

(a) `vecr=(hati+2hatj+3hatk)+lambda(hati+2hatj+3hatk),`
`(x-1)/(1)=(y-2)/(2)=(z-3)/(3)`

B

(b) `barr=(hati-2hatj+3hatk)+lambda(hati+2hatj+3hatk),`
`(x-1)/(1)=(y+2)/(2)=(z-3)/(3)`

C

(c) `barr=(hati+2hatj+3hatk)+lambda(hati-2hatj+3hatk),`
`(x-1)/(1)=(y-2)/(-2)=(z-3)/(3)`

D

(d) `barr=(hati-2hatj+3hatk)+lambda(hati+2hatj+3hatk),`
`(x-1)/(1)=(y-2)/(-2)=(z-3)/(3)`

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The correct Answer is:
C
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