A vector has an x-component

of - 309 m and a y-component

of 187 m.

Find the magnitude of the

vector.

The magnitude of a vector v can be found using Pythagorean's theorem.

||v|| = √ (vₓ² + vᵧ²)

||v|| = √ ((-309) ² + (187) ²)

||v|| ≈ 361

You can find the angle of a vector using trigonometry.

tan θ = vᵧ / vₓ

tan θ = 187 / - 309

θ ≈ 149° or θ ≈ 329°

vₓ is negative and vᵧ is positive, so θ must be in the second quadrant. Therefore, θ ≈ 149°.