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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

Respuesta :

carlosego
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

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