Question
(a) Find the distance from the point $\mathbf{b}=(1,2,-1)^T$ to the plane $x-2 y+z=0$.(b) Find the distance to the plane $x-2 y+z=3$.
Step 1
The equation of the plane is given as \(x - 2y + z = 0\). From this equation, we can directly read off the normal vector \(\mathbf{n}\) to the plane, which is \(\mathbf{n} = (1, -2, 1)^T\). Show more…
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