Let a = (1, 0, 3) and b = (−3, 2, 1).

(a) (3 points) normalize −−→ab.
(b) (3 points) find the midpoint m of the segment ab.
(c) (4 points) find equation of the plane passing through m and perpendicular to ab

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap