The angle it makes with the positive x axis in the xy plane is 61.3145 degrees.
In this question,
A normal vector to the plane is any vector that starts at a point in the plane and has a direction that is orthogonal (perpendicular) to the surface of the xy plane .
The magnitude of the xy plane, hypotenuse = 25 units
The x component of the xy plane, base = 12 units
Let θ be an angle, then the angle it makes with the positive x axis is
[tex]\theta = cos^{-1}(\frac{base}{hypotenuse} )[/tex]
⇒ [tex]\theta = cos^{-1}(\frac{12}{25} )[/tex]
⇒ [tex]\theta = cos^{-1}(0.48)[/tex]
⇒ [tex]\theta = 61.3145[/tex]
Hence we can conclude that the angle it makes with the positive x axis in the xy plane is 61.3145 degrees.
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