Math Problem Statement

a=150g, 20<Degrees. b=377g, 120<degrees. c=225g<260degrees. d=95g, <340degrees. solve magnitude and direction of E. 1. A+B+C+E=0.

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Trigonometry
Component Form of Vectors

Formulas

Vector components: Mx = M * cos(θ), My = M * sin(θ)
Magnitude of vector: |E| = sqrt(Ex^2 + Ey^2)
Direction of vector: θE = tan^(-1)(Ey / Ex)

Theorems

Trigonometric functions (sine and cosine) for vector decomposition

Suitable Grade Level

Grades 10-12 (Advanced High School Physics/Math)