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The vector equation of the line passing ...

The vector equation of the line passing through a point with position vector `2hati-hatj+hatk` and parallel to the line joining the points with position vectors `-hati+4hatj+hatk and hati+2hatj+2hatk ` is `r=(2hati-hatj+hatk)+lambda(xhati-2hatj+hatk)` where x is equal to

A

`(2hati +2hatj - hatk) + lambda(2hati + hatj + hatk)`

B

`(2hati + hatj - hatk) + lambda(2hati +2hatj -2hatk)`

C

`(2hati - 2hatj +hatk) +lambda(2hati - hatj +hatk)`

D

`(2hati - hatj + hatk) + lambda(2hati - 2hatj +hatk)`

Text Solution

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The correct Answer is:
D
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