When seen from an airplane, a rainbow sometimes forms a complete circle. When this happens, the plane's shadow is a. in the center of the rainbow. b. totally outside the rainbow. c. in the upper part of the rainbow. d. Nowhere. There is no shadow. e. in the lower part of the rainbow.

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].