Question

. Prove that the distance from the point P to the line given by the equation

$\mathbf{r}\left(t\right)={\mathbf{P}}_0+t\mathbf{d}\text{is given by}\frac{||\mathbf{d}\times P_{0}P||}{\Vert \mathbf{d}\Vert }$

Short answer

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Step-by-step solution

Step 1:Given information

$\mathbf{r}\left(t\right)={\mathbf{P}}_0+t\mathbf{d}\text{is given by}\frac{||\mathbf{d}\times P_{0}P||}{\Vert \mathbf{d}\Vert }$