Question

For what value of p the points (1, 1, p) and

(–3,0,1) be equidistant from the plane

$\overrightarrow{r}.(3\widehat{i} + 4\widehat{j}–12\widehat{k}) + 13 = 0$

• A. 1
• B. $\frac{7}{3}$
• C. – 1
• D. $\frac{3}{7}$

Answer 1

Answer: (B)

$\frac{7}{3}$

Answer 2

Distance between the point & the plane is

Ž $\left| \frac{\overrightarrow{a}.\overrightarrow{n}–d}{\left| \overrightarrow{n} \right|} \right|$