The vector and the cartesian equations o...

The vector and the cartesian equations of the line through the
point (5, 2, -4) and which is parallel to the vector `3hati+2hatj-8hatk` are

A

(a) `barr=3hati+2hatj-8hatk+lambda(5hati+2hatj+4hatk),`
`(x-3)/(5)=(y-2)/(2)=(z+4)/(-4)`

B

(b) `barr=3hati+2hatj+8hatk+lambda(5hati+2hatj-4hatk),`
`(x-3)/(5)=(y-2)/(2)=(z-8)/(-4)`

C

(c) `barr=5hati+2hatj-4hatk+lambda(3hati-2hatj+8hatk)`
`(x-5)/(3)=(y-2)/(-2)=(z+4)/(-8)`

D

(d) `barr=5hati+2hatj-4hatk+lambda(3hati+2hatj-8hatk)`
`(x-5)/(3)=(y-2)/(2)=(z+4)/(-8)`

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The correct Answer is:

D

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