Vectors - Intersection of a Line and a Plane

Vectors - Intersection of a Line and a Plane

Find the coordinates of point of intersection between the line \(l:\frac{x-5}{2}=-(y+2)=z-3\) and the plane \(3x+2y-2z=-2\).

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Answer:\(\left(-2,\frac32,-\frac12\right)\).

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