Derivative of a vector: After reviewing the vector algebra, we would now like to introduce you to the idea of differentiating a vector quantity. Here we take a vector as depending on one parameter, say time t , and evaluate … Continued
Geometric interpretation of cross product : The magnitude of the cross-product , which is equal to , is the area of a parallelogram formed by vectors . This is shown in figure. Last Updated: Friday, November 6, 2009
Vector or cross product: In defining the scalar product above, we have used three out of the nine possible products of the components of two vectors. From the six of these that are left i.e. , if we define the … Continued
Scalar or dot product: Now it is easy to show that is a scalar quantity. To show this we calculate this quantity in a rotated frame (rotation could be about the x, y or the z axis) that is obtain … Continued