Three Dimensional Geometry Question 346

Question: The intercept made by the plane $ \vec{r}\cdot \vec{n}=q $ on the x-axis is

Options:

A) $ \frac{q}{\hat{i}\cdot \vec{n}} $

B) $ \frac{\hat{i}\cdot \vec{n}}{q} $

C) $ \frac{\hat{i}\cdot \vec{n}}{q} $

D) $ \frac{q}{| {\vec{n}} |} $

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Answer:

Correct Answer: A

Solution:

[a] x intercept is say $ x_1, $ i.e., the plane passes through it. Therefore, $ x_1\hat{i}\cdot \vec{n}=q $ or $ x_1=\frac{q}{\hat{i}\cdot \vec{n}} $