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. $