By using vector
a. the distance traveled is 12 kilometres
b. the resultant displacement is (7 i + 5 j) kilometres
We need to know about vectors to solve this problem. Vector has magnitude and also direction. Displacement is included in vector. It can be written as
s = sx i + sy j + sz k
where s is displacement, sx is displacement on x-axis, sy is displacement on y-axis and sz us displacement on z-axis.
From the question above, we know that
east = positive x
south = negative y
west = negative x
north = positive y
s1 = 7 j
s2 = 5 j
The distance traveled is
s = s1 + s2
s = 7 + 5
s = 12 kilometres
The resultant displacement is
s = s1 + s2
s = 7 i + 5 j
s = (7 i + 5 j) kilometres
Find more on vector at: brainly.com/question/25811261
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