Find the magnitude and angle of vector B

AI Thread Summary
To find the magnitude and angle of vector B, start by noting that vector A has a magnitude of 75 units in the positive x direction, while vector C, which is the resultant of A and B, has a magnitude of 95 units in the positive y direction. Using the Pythagorean theorem, the relationship between the vectors can be established, leading to the equation A^2 + B^2 = C^2. By substituting the known values, vector B's magnitude can be calculated. The angle of vector B can then be determined using trigonometric functions based on its components.
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Homework Statement



find the magnitude and angle of vector B when vector A has a magnitude of 75 units and points in the positive x direction and vector C (A+B) has a magnitude of 95 units and points in the positive y direction. how would you work this problem out?
 
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