Did you know?
Did you know that you can calculate the magnitude of vector B by solving a simple trigonometric equation? In this case, knowing that the resultant of vectors A and B has a magnitude of 20 units, and that vector A has a magnitude of 8 units with an angle of 40 degrees between A and B, we can find the magnitude of vector B. By using the formula c² = a² + b² - 2ab \cdot cos(C), where c represents the magnitude of the resultant, a represents the magnitude of vector A, b represents the magnitude of vector B, and C represents the angle between vectors A and B, we can rearrange the equation to solve for b. Plugging in the given values, we can find that the magnitude of vector B is approximately 14.82 units.