If vector B is added to vector C = 6.7 + 6.9, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of vector C. What is the magnitude of vector B?
Magnitude of C: sqrt(6.7^2+6.9^2). figure that out.
so what is added?
A+C=MagnitudeC j
so A must be -6.7i + (magnitude-6.9)j
To find the magnitude of vector B, we need to determine the components of vector B. From the given information, we know that the resulting vector is in the positive direction of the y-axis with a magnitude equal to that of vector C.
The components of vector C are given as:
Cx = 6.7
Cy = 6.9
Let's consider the components of vector B:
Bx + Cx = 0 (since vector B does not have any contribution in the x-axis direction)
By + Cy = C
Since the resulting vector is in the positive y-axis direction, we can say that By > Cy. And since we want the magnitude of vector B to be equal to that of vector C, we can rewrite the equation as:
By + Cy = Cy
By simplifying the equation, we can find the magnitude of vector B:
By = 0
Therefore, the magnitude of vector B is 0.