Preliminaries

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Chapter 1 Preliminaries

Objectives

Perform basic operations, including addition, scalar multiplication, and dot product, on vectors in $\mathbb{R}^n\text{.}$
Perform basic operations, including addition and scalar multiplication, on geometric representations of vectors in $\mathbb{R}^2$ and $\mathbb{R}^3\text{.}$
Transition seamlessly between algebraic and geometric representations of vectors in $\mathbb{R}^2$ or $\mathbb{R}^3\text{.}$
Project one vector onto another.
Transition seamlessly between parametric and non-parametric forms of the equation of a line in $\mathbb{R}^2\text{.}$
Transition seamlessly between parametric and vector forms of the equation of a line in $\mathbb{R}^n\text{.}$
Determine the equation of a plane in $\mathbb{R}^3$ meeting given characteristics.

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