Vector Equation of a Line

The vector equation of a line has the form has the form \( \mathbf{r}=\mathbf{a}=+ \lambda\mathbf{b} \) where \( \mathbf{a} \) is the position vector of a point on the line, and \( \mathbf{b} \) is a vector which is parallel to the line and \( \lambda \) is a real number and \( \lambda \in \mathbb{R} \) in plain English this means \( \lambda \) is any real number between positive and negative infinity.

Vector equation line of through two points

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Multiplying Vectors with a Scalar Quantity

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\( \mathbf{a}= \begin{bmatrix} 1 \\ 3 \end{bmatrix} \)

Modulus of a vector and the unit vector

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