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What is the value of u+vu+v given ∥2∥=8, θu=130°°, ∥v∥=4 and θv=10°?

A) 140°
B) 120°
C) 140.5°
D) 150°

1 Answer

4 votes

Final answer:

The value of θ(u + v) is calculated by subtracting the angle of vector v from the angle of vector u, which is 120°.

Step-by-step explanation:

The value of θ(u + v) is the angle of the resultant vector when vector u and vector v are added. Given that the magnitude of vector θu is 130° and the magnitude of vector θv is 10°, their resultant is in a straight line since they are collinear but in opposite directions. The angle between u and v is 130° - 10° = 120°.

User Kevin Rajan
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