Final answer:
The statement is true; if vector A and vector B have equal magnitudes and opposite directions, their difference would result in a vector with the same direction as A. Resultant vector magnitude of two opposite vectors is zero, and vectors with perpendicular components can form a right-angle triangle.
Step-by-step explanation:
If vector A and vector B have equal magnitudes and are directed in opposite directions, then their difference A - B results in a vector whose direction is the same as vector A's direction. This is because subtracting a vector is equivalent to adding its inverse, and the inverse of vector B (which has the same magnitude but opposite direction) would have the same direction as vector A.
To address the statement '-B = 0, then the vectors A and B have equal magnitudes and are directed opposite from each other', this is True assuming that 'A' is understood to be the vector that 'B' is subtracted from, meaning A - B = 0 implies A = B, and B is being used to represent the inverse of vector B.
When two vectors have identical directions, they are considered parallel, and if they also have equal magnitudes, they are considered equal (A = B). In contrast, vectors with perpendicular directions are known as orthogonal vectors.
The magnitude of the resultant vector of two vectors equal in magnitude and opposite in direction would be zero since they cancel each other out. The direction of the resultant vector depends on both the magnitude and direction of the added vectors. Lastly, for any vectors to form a right-angle triangle with their components, this is indeed True as the x and y components can be orthogonal, constituting a right-angle triangle.