Final answer:
Resultant vectors can be determined using vector components in any number of dimensions, not just two, therefore the statement is false. The Pythagorean theorem can calculate the length of a resultant vector when two vectors are at right angles to each other.
Step-by-step explanation:
Vector components can be used to determine resultant vectors not only in two dimensions but also in three dimensions (3D). Thus, the statement is false. For a two-dimensional vector, you can break it down into its x and y components. When you have two vectors at right angles to each other, you can use the Pythagorean theorem to calculate the length of the resultant vector.
If you know the magnitudes of two vectors and the angle between them, you can find the magnitude and direction of the resultant vector using trigonometric methods. Moreover, if you have two vectors represented by components, the resultant vector's direction depends on both the magnitude and direction of these components. Lastly, if the angles but not the magnitudes of two vectors are known, you cannot find the resultant addition vector angle without additional information.