The length of the perpendicular from the origin to the plane $\bar{r}$. $(3 \hat{i}-4 \hat{j}+12 \hat{k})=8$…

The length of the perpendicular from the origin to the plane $\bar{r}$. $(3 \hat{i}-4 \hat{j}+12 \hat{k})=8$ is
  1. 8 units
  2. $\frac{13}{8}$
  3. $\frac{8}{13}$
  4. 13 units

Solution

The required length of perpendicular $=\frac{8}{\sqrt{3^2+(-4)^2+12^2}}=\frac{8}{13}$

Asked in: MHT CET 2022 (07 Aug Shift 2)

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