Answer:
The question is incomplete, below is the complete question
"Two vectors A and B are added together to form a vector C. The relationship between the magnitudes of the vectors is given by A + B = C. Which one of the following statements concerning these vectors is true?
a. A and B must be displacements.
b. A and B must have equal lengths.
c.A and B must point in opposite direction.
d. A and B must point in the same direction.
e.A and B must be at right angles to each other."
answer:
d. A and B must point in the same direction.
Explanation:
a.false:From vector analysis, all forms of vector with the same unit can be added, and we add vector component by component. hence this defile option (a).
b. false: in addition of vectors, length is not a criteria to consider before carrying out the operation, hence vectors of different lengths can be added
c. false: this is against the claim as vectors in opposite direction can give rise to a new vector of negative value.
d. true: this is true as vector in the same direction add up to give rise to another vector.
e.false: this is not a true assumption