Finding the magnitude and angle of the resultant force vector

When we’re given two vectors with the same initial point, and they’re different lengths and pointing in different directions, we can think about each of them as a force. The longer the vector, the more force it pulls in its direction.

Oftentimes we want to be able to find the net force of the two vectors, which will be a third vector that counterbalances the force and direction of the other two. Think about the resultant vector as representing the amount of force and the direction in which you’d have to pull to cancel out the force from the other two vectors.

Finding curvature of the vector function

To find curvature of a vector function, we need the derivative of the vector function, the magnitude of the derivative, the unit tangent vector, its derivative, and the magnitude of its derivative. Once we have all of these values, we can use them to find the curvature.

Learn mathKrista KingDecember 26, 2020math, learn online, online course, online math, calculus 3, calculus iii, calc 3, calc iii, vectors, vector functions, curvature, curvature of a vector function, unit tangent vector, magnitude, magnitude of the derivative, kappa

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