Vector A has a magnitude of 25 units and points in the positive y-direction. When vector B is added to A, the resultant vector A
B points in the negative y-direction with a magnitude of 15 units. Find the magnitude and direction of B.
1 answer:
Answer:
B= -40
The negative sign indicates the reverse direction to that of vector A.That is it is in the third quadrant.
Explanation:
Th resultant vector is obtained by adding the two vectors A and B
A + B= AB
25 + B= -15
25+ 15= -B
-B = 40
B= -40
Vector B has a magnitude of 40 and points in the opposite direction to that of vector A. The negative indicates the opposite direction.
When we reverse the vector B for adding we place a negative sign with the magnitude.
A vector is quantity defined by magnitude and direction. If the direction is left out it becomes a scalar.
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