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| PAGE: 490 | SET: Exercises | PROBLEM: 51 |
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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