Vectors and geometry in space 1.- Say if the following expression makes sense. If not, please explain why; if it makes sense, tell if it is a vector or a scalar. (a . b) x (c . d) a,b,c and d are vectors with magnitude, direction, sense and point of application. Feature Optimization 2.- Determine the critical values of the function, the nature of said points and make a graph of the function locating the vertex (a, b, c) of the figure. f(x. y) = x3 +y' - 2x - 6y+14 vector functions 3.-Determine the div F(x,y,z)=V-F of the vector field. F(x, y.z) = e*sen(y)i + ex cos(y)j + zk Green's theorem 4.- Evaluation of a line integral using Green's theorem. Evaluate the integral. fxydy - y-ax where C is the square delimited in the first quadrant by the lines x=1 and y=1. Note: From Green's theorem normal form (flow divergence or normal form). May - Nex = | Car (aM + 7 -dxdy