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Question Number 31264 by ajfour last updated on 04/Mar/18

$$Findtheshortestdistancefromthe$$$$plane\overline{\mathit{r}}.\overline{\mathit{n}}=\mathit{q}tothesphere$$$$\mid \overline{\mathit{r}}-{\overline{\mathit{r}}}_0\mid =\mathit{R}.$$

Commented by ajfour last updated on 04/Mar/18

Commented by ajfour last updated on 05/Mar/18

$$lettheshortestdistancebe{d}_s.$$$$\mid ({\overline{r}}_0-{\overline{r}}_A).\hat{n}\mid =R+d_s$$$$\Rightarrow {\mathit{d}}_{\mathit{s}}=\frac{\mid {\overline{\mathit{r}}}_0.\overline{\mathit{n}}-\mathit{q}\mid }{\mid \overline{\mathit{n}}\mid }-\mathit{R}.$$

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