Two ships are sailing parallel to each other. The path of one ship is represented on a coordinate plane as the line y = –13x + 4
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The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.
<h3>How to determine the magnitude and the direction of a resultant</h3>Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:
<h3>Resultant</h3> (1)
(2)
(3)
Where is resultant angle, measured in degrees.
If we know that ,
,
,
,
and
, then the resultant, its magnitude and its direction:
The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.
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