Math Problem Statement
Resuelve
Solution
The problem asks to "List the components of vector A," given a vector in a coordinate system. The image shows a vector originating from the origin and ending at point .
Analysis:
The vector has the following components:
- x-component: 4
- y-component: 3
Therefore, the vector can be represented as:
Where:
- represents the unit vector along the x-axis.
- represents the unit vector along the y-axis.
The components of the vector are .
Would you like more details or have any questions?
Here are some related questions you might consider:
- How do you calculate the magnitude of a vector given its components?
- What is the direction (angle) of this vector relative to the x-axis?
- How can you decompose a vector into unit vector form?
- What is the significance of the vector's components in physical applications like displacement or force?
- How do you add two vectors using their components?
Tip: Always remember that the x- and y-components of a vector can be determined by analyzing the horizontal and vertical distances from the origin to the vector’s endpoint.
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Math Problem Analysis
Mathematical Concepts
Vectors
Coordinate Systems
Vector Components
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12