Question

In the vector equation \[\vec{r}=\vec{a}+\lambda\vec{b}\], what does \[\vec{r}\] represent?

Options

• The position vector of any arbitrary point on the line

• The direction ratios of the line

• The position vector of the given point only

• The direction vector parallel to the line

Answer 1

The vector \[\vec{r}\] changes as \[\lambda\] changes. Thus, it represents the position vector of any arbitrary point on the line.