A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes multiplied by a unit vector (i, j, k). For such cases, the dot product of two of these fectors {a} and {b} corresponds to the product of their magnitudes and the cosine of the angle between their tails as in aâb=abcosθ

The cross product yields another vector, , which is perpendicular to the plane defined by {a} and {b} such that its direction is specified by the right-hand rule. Develop and M-file function that is passed two such vectors and returns q, {c} and the magnitude of {c}, and generates a threedimensional plot of the three vectors {a}, {b}, and {c} with their origins at zero. Use dashed lines for {a} and {b} and a solid line for {c}. Test your function using the following cases:

a. a = [6 4 2]; b = [2 6 4];
b. a = [3 2 -6]; b = [4 -3 1];
c. a = [2 -2 1]; b = [4 2 -4];
d. a = [-1 0 0]; b = [0 -1 0];