Math Problem Statement
Vector #1: 202 at 270°
Vector #2: 421 at 0°
What is the magnitude and absolute angle of the resultant vector?
Solution
To find the magnitude and absolute angle of the resultant vector, we need to break down each vector into its components, sum these components, and then calculate the magnitude and direction of the resultant vector.
Given:
- Vector #1: Magnitude = 202, Angle = 270°
- Vector #2: Magnitude = 421, Angle = 0°
Step 1: Break down each vector into its components.
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Vector #1 Components:
-
Vector #2 Components:
Step 2: Sum the components to get the resultant vector
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Math Problem Analysis
Mathematical Concepts
Vectors
Trigonometry
Component Addition
Formulas
Vector components using trigonometric functions
Theorems
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Suitable Grade Level
Grades 11-12
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