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Show that the line whose vector equation...

Show that the line whose vector equation is `vec r=(2hati-2hatj+3hatk)+lamda(hati-hati+4hatk)` is parallel to the plane whose vector equation is `vec r.(veci+5hatj+hatk)=5`. Also, find the distance between them.

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The correct Answer is:
`(10)/(3sqrt(3))` unit
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