find the resultant of vectors A of magnitude 10units in the direction N40E and B of magnitude 8units in the direction S30E

3 answers

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The resultant has a north component of
Y = 10 cos 40 - 8 cos 30 = 0.732
and an east component of
X = 10 sin 40 + 8 sin 30 = 10.43

The resultant's magnitude is
sqrt[(X^2 + Y^2] = 10.46