A fisherman in Barbados sails from point P to point Q using displacement vector **p** = (5, 8) km, then from Q to R using **q** = (-3, 2) km. What is the resultant displacement from P to R?

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Question

A fisherman in Barbados sails from point P to point Q using displacement vector **p** = (5, 8) km, then from Q to R using **q** = (-3, 2) km. What is the resultant displacement from P to R?

Accepted Answer

(2, 10) km — Award 1 mark for adding vectors: 5 + (-3) = 2 and 8 + 2 = 10. A is incorrect — subtracted the negative sign. B is incorrect — error in y-component addition. D is incorrect — this represents -(**p** + **q**).

Answer

(2, 10) km

Answer

(2, 6) km

Answer

(-8, -6) km

Answer

(8, 10) km

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