Vector A = 6.0 m and points 30° north of east. Vector B = 4.0 m and points 30° south of west. The resultant
vector A + B is given by?
I have tried this Question many times and have not been able to figure it out, Please help me
1
Expert's answer
2019-08-27T09:36:00-0400
For this task first, lets find X (East) and Y (North) components of each vector, and then sum them up.
xA=6∗cos30∘=5.19yA=6∗sin30∘=3
xB=−4∗cos30∘=−3.46yB=−4∗sin30∘=−2
So, the resultant vector will have coordinates:
x=xA+xB=1.73y=yA+yB=1
The length of the vector:
L=x2+y2=2
Direction:
φ=tan−1xy=30∘
Answer: resultant vector has the length of 2.0m and points 30 degrees north of east
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