Definition:Vector Quantity/Component/X Component
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Definition
Let:
- $\mathbf a = x \mathbf i + y \mathbf j + z \mathbf k$ be a vector quantity embedded in Cartesian $3$-space $S$
where $\mathbf i$, $\mathbf j$ and $\mathbf k$ be the unit vectors in the positive directions of the $x$-axis, $y$-axis and $z$-axis respectively.
The value $x$ is known as the $x$ component of $\mathbf a$.
Also see
Sources
- 1970: George Arfken: Mathematical Methods for Physicists (2nd ed.) ... (previous) ... (next): Chapter $1$ Vector Analysis $1.1$ Definitions, Elementary Approach: $(1.6)$
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): component (of a vector)