The equation $\mathbf{r}^{\overrightarrow{2}} - 2\ \overrightarrow{\mathbf{r}} \bullet \overrightarrow{\mathbf{c}} + h = 0,|\overrightarrow{\mathbf{c}}| \sqrt{h}$, represent

Question

The equation $\mathbf{r}^{\overrightarrow{2}} - 2\ \overrightarrow{\mathbf{r}} \bullet \overrightarrow{\mathbf{c}} + h = 0,|\overrightarrow{\mathbf{c}}| > \sqrt{h}$, represent

Dr. Abubacker · Accepted Answer

(d)
The given equation is
$\overrightarrow{\mathbf{r}^{\mathbf{2}}} - 2\overrightarrow{\mathbf{r}} \bullet \overrightarrow{\mathbf{c}} + h = 0,\ \left| \overrightarrow{\mathbf{c}} \right| > \sqrt{h}$
This is the equation of sphere in diameter form.
$ie,\ \left( \overrightarrow{\mathbf{r}} - \overrightarrow{\mathbf{a}} \right) \bullet \left( \overrightarrow{\mathbf{r}} - \overrightarrow{\mathbf{b}} \right) = 0$

Q. The equation $\mathbf{r}^{\overrightarrow{2}} - 2\ \overrightarrow{\mathbf{r}} \bullet \overrightarrow{\mathbf{c}} + h = 0,|\overrightarrow{\mathbf{c}}| > \sqrt{h}$, represent

Explanation

Reviewed by Dr. Abubacker

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