Math Problem Statement

Four vectors start at the origin of the x y axes labeled O. Vector A is directed along the negative y axis and has a length of 8.00 meters. Vector B is located in the first quadrant, it makes an angle of 30.0 degrees with the positive y axis and has a length of 15.0 meters. Vector C is located in the third quadrant, it makes an angle of 25.0 degrees with the negative x axis and has a length of 12.0 meters. Vector D is located in the second quadrant, it makes an angle of 53.0 degrees with the negative x axis and has a length of 10.0 meters. - Four vectors starting at the origin

Compute the x- and y-components of the vectors A⃗, B⃗, C⃗, and D⃗ in (Figure 1).

Express your answer in meters.

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Vectors

Formulas

x-component formula: r * cos(theta)
y-component formula: r * sin(theta)

Theorems

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Suitable Grade Level

High School