Question

Which of the following three vectors has the greatest magnitude: v + (−w), w − v, or

Answer 1

Answer:

All have same magnitude.

Step-by-step explanation:

Given that

Vector 1 = V+ (-W) = V - W

So the magnitude of vector 1, R₁

$R_1=\sqrt{(V-W)^2}$

R₁ = V -W

For vector 2

Vector 2 = W - V  = W - V

So the magnitude of vector 2, R₂

$R_2=\sqrt{(W-V)^2}$

R₂ = V -  W

For vector 3

Vector 3 = (-V) - (-W) = - V + W = W - V

So the magnitude of vector 3,

$R_3=\sqrt{(W-V)^2}$

R₃ = W -V

So all have same magnitude.