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Let |u| = 4 at an angle of 210° and |v| = 9 at an angle of 315°, and w = u – v. What is the magnitude and direction angle of w?

|w| = 5.5; θ = 156.1°
|w| = 5.5; θ = 203.9°
|w| = 10.8; θ = 156.1°
|w| = 10.8; θ = 203.9°

Let u 4 at an angle of 210 and v 9 at an angle of 315 and w u v What is the magnitude and direction angle of w w 55 θ 1561 w 55 θ 2039 w 108 θ 1561 w 108 θ 2039 class=

Respuesta :

Answer:

C. |w| = 10.8; θ = 156.1°

Step-by-step explanation:

The magnitude and direction is |w| = 10.8; θ = 156.1°

What is vector?

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.

given:

|u| = 4, angle = 210

|v| = 9, angle = 315

So,

R = √u² + v² + 2uv cos θ

R= √16 + 81+ 19.75

R= √116.75

R= 10.8

Now, direction

θ = 156.1°

Learn more about this concept here:

https://brainly.com/question/15458306

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