The magnitude of Vector B from the given parameters and condition is; B^ = -3i + j
Vector Addition and Magnitude
From the question, we are give vector C as;
C^ = 3i + 4j
Therefore the magnitude of vector C is;
|C| = √(3² + 4²)
|C| = √25
|C| = 5
We are told that the sum of vector B and vector C is equal to magnitude of vector C in y-direction. Thus;
B^ + C^ = 5j
Thus;
B^ + (3i + 4j) = 5j
B^ = 5j - (3i + 4j)
B^ = -3i + j
The complete question is;
If (vector) B is added to (vector) C = 3.0i + 4.0j, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of (vector) C. What is magnitude of (vector) B?
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