Math Problem Statement
Axπ΄π₯, Ayπ΄π¦ =
Solution
Given that has a magnitude of and is directed along the negative -axis (at or with respect to the positive -axis):
So, the components are:
Would you like any further details or have additional questions?
Here are some related questions:
- How would you find the components of a vector if the angle was 45Β° instead of 90Β°?
- What is the significance of the negative sign in ?
- How can the direction of a vector be verified using its components?
- How does changing the magnitude affect the components of a vector?
- How would the calculation change if the vector was not aligned with one of the axes?
Tip: Always ensure that the angle used in the trigonometric functions is correctly referenced from the positive -axis, adjusting for any necessary quadrant changes.
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Math Problem Analysis
Mathematical Concepts
Vectors
Trigonometry
Formulas
Vector components using trigonometric functions
Theorems
-
Suitable Grade Level
High School
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