Describe the relationship between the plane \(\mathbf{r}\cdot(2\mathbf{i}+3\mathbf{j}-5\mathbf{k})=8

Question

Describe the relationship between the plane $\mathbf{r}\cdot(2\mathbf{i}+3\mathbf{j}-5\mathbf{k})=89$ to the line $-\frac{x-4}{2}=-\frac{y}{3}=\frac{z+1}{5}$. Find the angle between the line and plane.

Accepted Answer

Line is perpendicular to plane and intersects at $(8,6,-11)$, $90^\circ$

Vectors - Relationships Between a Line and a Plane

Vectors - Relationships Between a Line and a Plane

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