Chapter 1: Vectors, Lines and Planes

Section 1.2: Vector Arithmetic

Example 1.2.6

$$ Represent the position vector to the point $\left(2\,-3\,5\right)$ in terms of the unit basis vectors i, j, and k. $$ Solution $$ $\left[\begin{array}{c}2\\ -3\\ 5\end{array}\right]\=2\left[\begin{array}{c}1\\ 0\\ 0\end{array}\right]-3\left[\begin{array}{c}0\\ 1\\ 0\end{array}\right]\+5\left[\begin{array}{c}0\\ 0\\ 1\end{array}\right]$ = $2 \mathbf{i}-3 \mathbf{j}\+5 \mathbf{k}$  $$

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