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Find the vector equation of the line ...

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane ` -> rdot( hat i+2 hat j-5 hat k)+9=0` .

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Write the vector equation of the line passing through the point (1, -2, -3) and normal to the plane vec rdot((2 hat i+ hat j+2 hat k)=5.

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Write the vector equation of the plane passing through the point (a,b,c) and parallel to the plane vec r.(hat i+hat j+hat k)=2

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec r*(hat i-hat j+2hat k)=5 and vec r*(3hat i+hat j+hat k)=6