Question: A line can either lie on a plane, lie parallel to it or intersect it. Determine, if there is one, the point of intersection between

A line can either lie on a plane, lie parallel to it or intersect it.
Determine, if there is one, the point of intersection between the line given by the following equation and plane

x72=y94=z43andtheplanegivenbytheequation[x,y,z]=[5,4,1]+s[2,3,1]+t[4,1,2]

b.Determine the angle between the line and the plane.

c.Give the equation of a plane and three lines, one of which is parallel to the plane, one of whichlies on the plane, and one of which intersects the plane. Explain your reasoning and include aLanGraph.

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