Vector V: Magnitude and Direction Angle

What is the magnitude and direction angle of vector v?

Magnitude: 97.7

Direction Angle: -217°

Answer:

The magnitude of vector v is 97.7 and the direction angle is -217°.

Wow, what an exciting vector problem we have here! Let's dive into the details of vector v with a magnitude of 97.7 and a direction angle of -217°.

To find the component form of vector v, we can use the given magnitude and direction angle. The component form of a vector consists of horizontal and vertical components, denoted as (v1, v2).

By using the formulas v1 = magnitude * cos(direction angle) and v2 = magnitude * sin(direction angle), we can calculate the values:

v1 = 97.7 * cos(-217°) ≈ 78.18

v2 = 97.7 * sin(-217°) ≈ -58.06

Therefore, the component form of vector v with the given magnitude and direction angle is approximately (78.18, -58.06). How cool is that?

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