Final answer:
The given matrix A appears as a single row with multiple values, so it could be a 1x6 row matrix. Without proper notation or context, the dimensions might also be interpreted as a 2x3 matrix. The magnitude and direction of a vector involve resolving it into its perpendicular components using trigonometric functions.
Step-by-step explanation:
The dimensions of matrix A can be determined by counting the number of rows and columns it has. The given matrix A = [ 3 (-6) 1 (-8) 2 0 ] is arranged in a single row with multiple values, suggesting it is a row matrix. However, to confirm the dimensions precisely, we should view matrix A in its conventional two-dimensional form. If this is a misprint and the elements are meant to signify a 2x3 matrix, then the dimensions would be 2 rows and 3 columns. Without more context or proper notation, the dimensions could be interpreted as either 1x6 or 2x3, but more clarity is needed to provide an accurate answer. When considering the magnitude and direction of a vector, the components along the x and y axes are considered, often involving trigonometric functions such as sine and cosine to resolve the vector into its perpendicular components.