What is the component of a vector (in the plane) whose magnitude is 86.4 and whose component is 62.5?
To find the y-component of a vector in the plane, you can use the Pythagorean theorem. The magnitude of the vector represents the hypotenuse of a right triangle, and the x-component represents the adjacent side. We can find the y-component using the following equation:
y-component = sqrt(magnitude^2 - x-component^2)
In this case, the magnitude of the vector is 86.4 and the x-component is 62.5. Plugging these values into the equation:
y-component = sqrt(86.4^2 - 62.5^2)
Now, let's calculate the y-component: