A bird is flying along the straight-line path x = 2t + 7, y = t − 2, z = 1 − 3t, where t...

A bird is flying along the straight-line path x = 2t + 7, y = t − 2, z = 1 − 3t, where t is measured in minutes. (a) Where is the bird initially (at t = 0)? Where is the bird 3 minutes later? (b) Give a vector that is parallel to the bird’s path. (c) When does the bird reach the point (d) Does the bird reach (17, 4,−14)?