3. (20%) Let x =(x),x2,...,x,) and y = [y, Y2...., y,] be two vectors (one-dimensional arrays). The inner product of x and y is a scalar and is given by P = xy + x, y, +...+xy. a) Express the inner product P using the (summation) notation. b) Determine an explicit formula for evaluating Pif x, = i and y, = i, i = 1,2,...n. Show your work to receive full credit. 3. (20%) Let x = (x,x),...,x,) and y = [y y,,..., y] be two vectors (one-dimensional arrays). The inner product of x and y is a scalar and is given by P = x, y, + x, y, +...+X,Y a) Express the inner product P using the (summation) notation. b) Determine an explicit formula for evaluating P if x = i and y, = 1 , i=1,2,...n. Show your work to receive full credit