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The line vec r= hat i+lambda(2 hat i-m ...

The line ` vec r= hat i+lambda(2 hat i-m hat j-3 hat k)` is parallel to the plane ` vec rdot((\ m hat i+3 hat j+ hat k)=4` . Find `mdot`

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Find the distance of the point with position vector -hat i-5 hat j-10 hat k from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambda(3 hat i+4 hat j+2 hat k) with the plane vec rdot(( hat i- hat j+ hat k)=5.

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