If A B,under what condition is | - | = A - B?
A)The statement is never true.
B)Vectors and are in opposite directions.
C)Vectors and are in the same direction.
D)Vectors and re in perpendicular directions.
E)The statement is always true.

Question

If A > B,under what condition is |  -  | = A - B?
A)The statement is never true. 
B)Vectors and are in opposite directions. 
C)Vectors and are in the same direction. 
D)Vectors and re in perpendicular directions. 
E)The statement is always true.

Quizplus · Accepted Answer

The magnitude of the difference between two vectors is equal to the distance between their endpoints. If the two vectors are in the same direction, their endpoints will be closer together and the distance between them will be smaller, resulting in a smaller magnitude of the difference between them. Therefore, if A > B and the two vectors are in the same direction, it is possible for their difference to have a magnitude of A - B.

If a > B,under What Condition Is | -