Projections and work by computer

You will write three functions: the scalar projection of one vector on another, the vector projection, and the work done by a constant force. The checker uses the numbers of the worked example and a force that does negative work.

The idea. The scalar projection of $\vec a$ on $\vec b$ is $\dfrac{\vec a\cdot\vec b}{\lvert\vec b\rvert}$. The vector projection multiplies $\vec b$ by $\dfrac{\vec a\cdot\vec b}{\lvert\vec b\rvert^2}$. The work is the dot product of the force and the displacement.

Your tasks.

1. Finish scalar_projection(a, b).
2. Finish vector_projection(a, b). Return a tuple of three numbers.
3. Finish work(F, d). Return the work in joules.