Math Problem Statement
Solution
The image contains a problem related to vector magnitudes and their angle.
The problem appears to be:
- Two vectors and are given, where and .
- The angle between these two vectors is .
- The task is to calculate , the magnitude of the resultant vector.
The formula for the magnitude of the resultant vector is: where:
- ,
- ,
- .
Let me calculate the magnitude.
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Math Problem Analysis
Mathematical Concepts
Vectors
Vector Magnitude
Vector Addition
Formulas
Magnitude of resultant vector: \( |\vec{A} + \vec{B}| = \sqrt{|\vec{A}|^2 + |\vec{B}|^2 + 2|\vec{A}||\vec{B}|\cos(\theta)} \)
Theorems
Cosine Rule for Vectors
Suitable Grade Level
Grades 10-12
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