First slide

Planes in 3D

Question

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

Moderate

A

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

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

$\frac{\hat{i} \cdot \vec{n}}{p}$
D

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

Solution

x intercept is say x₁, i.e., the plane passes through it. Therefore,
$x_{1} \hat{i} \cdot \vec{n} = q or x_{1} = \frac{q}{\hat{i} \cdot \vec{n}}$

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