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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def tan_rand(q, seed=9):
 """Find a random vector in the tangent space of the n sphere This function will find a random orthogonal vector to q. Parameters q (n+1,) array which is in the n-sphere Returns ------- qd (n+1,) array which is orthogonal to n-sphere and also random """

    # probably need a check in case we get a parallel vector
    rs = np.random.RandomState(seed)
    rvec = rs.rand(q.shape[0])

    qd = np.cross(rvec, q)
    qd = qd / np.linalg.norm(qd)

    while np.dot(q, qd) > 1e-6:
        rvec = rs.rand(q.shape[0])
        qd = np.cross(rvec, q)
        qd = qd / np.linalg.norm(qd)

    return qd