NEED HELP ASAP

Consider the following vectors in polar form.

|u| = 2 at ∠0°

|v| = 4 at ∠45°

What is the magnitude of vector w, if w = u – v?

|w| = 2.77
|w| = 2.95
|w| = 3.58
|w| = 5.60

Answers

Answer 1

Answer:

B 2.95

Step-by-step explanation:

NEED HELP ASAPConsider The Following Vectors In Polar Form.|u| = 2 At 0|v| = 4 At 45What Is The Magnitude
Answer 2

The magnitude of w is |w| = 2.95 , Option B is the correct answer.

What is a Vector ?

Any object that has both magnitude and direction is called a Vector.

It is given that

|u| = 2 at 0 degree

|v| = 4 at 45 degree

The magnitude of the vector w = | u -v| = ?

The resultant angle will be 45 degree

By applying Cosine law

w = | u -v| = [tex]\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}[/tex]

w = | u -v| = [tex]\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}[/tex]

w = 2.947 = 2.95

Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.

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