Question

If V₁ = - i and the magnitude and angle of V₂ are 2 and rad, respectively, what option shows the magnitude and angle of V₁ - V₂? Hint: Do the vector resolution for V₂ and find its components. Then, calculate V₁ - V₂ using the components of V₁ and V₂, and finally find the magnitude and the angle.

Group of answer choices

A. magnitude = 2.91, angle = 20.1 deg

B. magnitude = 1.2, angle = 53.9 deg

C. magnitude = 1.2, angle = 233.9 deg

D. magnitude = 2.91, angle = 200.1 deg

Answer 1

Answer:- C. magnitude = 1.2, angle = 233.9 deg

Explanations:-

Here we have given that,

v1 = -i

magnitude and angle of v2 = 2 angle (Pie/6) rad

Here pie/6 rad = 29.98 degrees

Now when we break it into component form them

V1 = -i

V2 = 2Cos29.98°i + 2Sin29.98°j

Now when we perform the vector algebra here we will get,

V1 - V2 = -i -(2Cos29.98i +2Sin29.98j)

V1-V2 = -0.7323162i - 0.999j

So that here

magnitude = 1.2

and angle = 180° + 53.9 = 233.9°

Hence option C. magnitude = 1.2, angle = 233.9 deg

Is correct here.