Question

A vector has an x-component

of -309 m and a y-component
of 187 m.
Find the magnitude of the
vector.

Answer 1

Step-by-step explanation:

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°.

Answer 2

2 answers. Pay attention

Step-by-step explanation:

Acellus asks you to find Magnitude and vector. The questions are in separate answers. Type in 361 whenever it asks for Magnitude. When it asks for Vector type in 149.

Magnitude is 361

Vector is 149