Given that p = (2, 9) and q = (4, 14), find the component form and magnitude of pq. a. < 2, 5> , square root of 29 b. < -2, -5> , 29 c. < 2, 5> , 29 d. < -2, -5> square root of 29

The first thing you should know is that to find the vector, PQ we must subtract both points:
 PQ = Q-P = (4, 14) - (2, 9) = (2, 5)
 The module of this vector is given by
 lPQl = root ((2) ^ 2 + (5) ^ 2)
 lPQl = root (29)
 answer
 PQ = (2, 5)
 lPQl = root (29)
 a. <2, 5>, square root of 29