Vectors - Relationships Between a Line and a Plane

Vectors - Relationships Between a Line and a Plane

Describe the relationship between the plane \(\mathbf{r}\cdot(4\mathbf{j}-\mathbf{k})=-5\) to the line \(2-x=y+1=\frac{z-1}{9}\). Find the angle between the line and plane.

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Answer:Line intersects plane at \((2,-1,1)\), \(7.6^\circ\)

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