Respuesta :
The required approximate direction angle of v is 326°.
Let v = LeftAngleBracket 3, negative 2 RightAngleBracket. What is the approximate direction angle of v is to be determined.
What is the angle?
The angle can be defined as the one line inclined over another line.
Since, v = LeftAngleBracket 3, negative 2 RightAngleBracket.
v = (3, -2)
Implies v lies in a fourth quadrant, So the angle could be
Angle v = 360 - | x | - - - - - - - - - - -(1) (let position of v be x)
Here, v = ( 3, -2 )
tanx = - 2/3
[tex]x = tan^{-1}(-2/3)[/tex]
x ≈ -34
x = -34
now put x in equation 1
Angle v = 360 - | -34 |
Angle v = 360 - 34
Angle v = 326°
Thus, the required approximate direction angle of v is 326°.
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