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miles per hour at a bearing of .
miles per hour at a bearing of .
Draw a diagram to represent and using a scale of .
Observe the diagram :
The angle created by and - axis is .
Draw a horizontal where the tip of and the tail of meet, as shown in above figure.
makes a angle and makes a angle with the horizontal.
Thus, the angle created by and is .
Draw the resultant .
The three vectors form a triangle.
Use the law of cosines to find the magnitude of .
Law of cosines : .
Use the law of sines to find the angle opposite of .
Therefore, the angle opposite of is about .
To find the bearing of , subtract from .
Thus, the direction of is a bearing of .
Since the equilibrant vector is the opposite of resultant vector, it will have a magnitude of about at a bearing of about .
The magnitude of the quilibrant vector is about at a bearing of about .
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