Find the direction angle of v. Your solution should be in degrees, rounded to one decimal...

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Find the direction angle of v. Your solution should be in degrees, rounded to one decimal place. Your solution should be in t

math trigonometry

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Answer 1

Answer #1

Solution:- Given that

v=6i-4j ----------------(1)

vector v lie in the fourth quadrant.

We know that

v=ai+bj

comparing the equation (1) the we get

a=6 , b=-4

The formula of diection angle

tanθ=b/a

tanθ=-4/6

tanθ=-2/3

θ=arctan(-2/3)

θ=-33.6°

Then the angle of vector =360°+θ

the angle of vector =360°+(-33.6°)

=360°-33.6°

=326.4°

Hence it is lie in the interval [0°,360°)

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Answer 2

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