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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