Describe the relationship between the plane \(\mathbf{r}\cdot (\mathbf{i}+2\mathbf{j}-\mathbf{k})=5\

Question

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

Accepted Answer

Line is perpendicular to plane, $90^\circ$

Vectors - Relationships Between a Line and a Plane

Vectors - Relationships Between a Line and a Plane

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