Respuesta :

With 63.4° east of north, we are about 2.24 km from the starting site.

There are numerous quantities that are vectors in physics. The best feature of a vector is that it has more than one dimension.

There are so many uses for the vectors, including navigation. The airplane uses vector calculus and a variety of environmental variables, like altitude, speed, etc., to navigate accurately.

Given;

x = 2 km (Displacement in x direction)

y = 1 km (Displacement in y direction)

a) The Pythagorean theorem can be used to determine the cross-country skier's subsequent displacement:

d = [tex]\sqrt{x^{2} +y^{2} }[/tex]

d = [tex]\sqrt{2^{2}+1^{2} }[/tex]

d = [tex]\sqrt{5}[/tex]

d ≈ 2.24 km

b) The geometry of the issue allows us to determine the direction of the displacement vector:

∅ = tan⁻¹ (x/y)

∅ = tan⁻¹(2/1)

∅ ≈ 63.2⁰

With 63.4° east of north, we are about 2.24 km from the starting site.

Learn more about the displacement with the help of the given link:

https://brainly.com/question/24822049

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