Math Problem Statement
What is the magnitude of the x component of vector A?
What is the magnitude of the y component of vector A?
What is the magnitude of the x component of vector B?
What is the magnitude of the y component of vector B?
What is the overall magnitude of vector C?
What angle above the horizontal is vector C directed?
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Components
Trigonometry
Vector Addition
Formulas
Ax = A * cos(θ)
Ay = A * sin(θ)
Bx = B * cos(θ)
By = B * sin(θ)
Resultant Magnitude = sqrt(Cx^2 + Cy^2)
Angle = tan^(-1)(Cy / Cx)
Theorems
Pythagorean theorem
Trigonometric identities
Suitable Grade Level
Grades 10-12
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