Are given a vector in the xy plane that has a magnitude of 95.0 units and a y component of -40.0 units.

Question

what are the two possibilities of its x component?

Answer 1

vector V (X, Y)

V^2 = X^2 + Y^2

X^2 = V^2 - Y^2

X = +sqrt(V^2 - Y^2) or X = -sqrt(V^2 - Y^2)

Answer 2

Magnitude = Sqrt( x-comp^2 + Y-comp^2)

So Mag^2 - Y-comp^2 = X-comp^2

95^2-(-40)^2 = x^2

x^2=7425

x = 15V33=86.168

Answer 3

a^2+b^2=c^2

+/- 86.17