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GenaCL600 [577]
1 year ago
13

an airplane is taking off headed due north with an air speed of 173 miles per hour at an angles of 18

Mathematics
1 answer:
Sloan [31]1 year ago
8 0

The vector that represents the resultant velocity of the plane will be V = 30.72 i + 135.89 j + 53.46 k.

<h3>What is a vector?</h3>

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of  S 47° E.

Let north be the y-axis and east be the x-axis. Then the vector equation will be given as,

V = (42 sin 47°) i + (173 cos 18° - 42 cos 47°) j + (173 sin 18°) k

V = 30.72 i + 135.89 j + 53.46 k

The complete question is attached below.

More about the vector link is given below.

brainly.com/question/13188123

#SPJ4

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