How do you implement the vector subtraction between vector u and vector v?

Multiply the numpy array z with the scalar -2:

Consider the lists [1, 2, 3, 4, 5] and [1, 0, 1, 0, 1], and cast both lists to a NumPy array then multiply them together. Is the result a scalar or a vector?

Convert the list [1, 0] and [0, 1] to numpy arrays a and b. Then, find the dot product. Is the result a scalar or a vector?

Convert the list [1, 1] and [0, 1] to numpy arrays a and b. Then find the dot product. Is the result a scalar or a vector?

Why are the results of the dot product for [-1, 1] and [1, 1] and the dot product for [1, 0] and [0, 1] zero, but not zero for the dot product for [1, 1] and [0, 1]?

Hint: plot the arrays as vectors in a 2D space.