alleryThe vector equation of the line passing through the point with position vector $\bar a$ and parallel to the vector $\bar b$ is
A$\bar r=\bar b+\lambda\bar a$
B$\bar r=\bar a\times\bar b$
C$\bar r=\bar a+\lambda\bar b$
D$\bar r\cdot\bar b=\bar a\cdot\bar b$
Answer & Solution
Correct answer: C. $\bar r=\bar a+\lambda\bar b$
A line through position vector $\bar a$ and parallel to direction vector $\bar b$ is written in parametric vector form as $\bar r=\bar a+\lambda\bar b$.
This starts at the point $\bar a$ and moves along the direction $\bar b$.
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