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State when the line vec rdot vec a+lamb...

State when the line ` vec rdot vec a+lambda vec b` is parallel to the plane ` vec rdot vec n=ddot` Show that the line ` vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)` is parallel to the plane ` vec rdot(-2 hat i+ hat k)=5.` Also, find the distance between the line and the plane.

Text Solution

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The correct Answer is:
`(7 sqrt(5))/(5)` units.
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