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11 April, 20:11

A vector has an x-component

of - 309 m and a y-component

of 187 m.

Find the magnitude of the

vector.

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Answers (1)
  1. 11 April, 20:40
    0
    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°.
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