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Show that the line whose vector equation...

Show that the line whose vector equation is ` vec r=(2 hat i-2 hat j+3)+lambda( hat i- hat j+4 hat k)` is parallel to the plane whose vector equation ` vec r( hat i+5 hat j+ hat k)=5` . Also, find the distance between them.

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The correct Answer is:
1.92 units
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