Three Dimensional Geometry Question 99

Question: The plane $ \vec{r},\cdot \vec{n}=q $ will contain the line $ \vec{r}=\vec{a}+\lambda \vec{b} $ , If

Options:

A) $ \vec{b}\cdot \vec{n}\ne 0 $ , $ \vec{a},\cdot \vec{n}\ne q $

B) $ \vec{b},\cdot \vec{n}=0 $ , $ \vec{a}\cdot \vec{n}\ne q $

C) $ \vec{b}\cdot \vec{n}=0 $ , $ \vec{a},\cdot \vec{n}=q $

D) $ \vec{b},\cdot \vec{n}\ne 0 $ , $ \vec{a},\cdot \vec{n}=q $

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Answer:

Correct Answer: C

Solution:

[c] We must have $ \vec{b}\cdot \vec{n}=0 $ and $ \vec{b}\cdot \vec{n}=q. $