Math Problem Statement
Write CD in component form, with C(2, -4) and D(1, -3).
Solution
To find the vector in component form, we need to use the coordinates of points and .
Given:
The component form of a vector is calculated by subtracting the coordinates of from the coordinates of :
Where and are the x and y coordinates of point , and and are the x and y coordinates of point .
Substitute the given values:
So, the component form of is .
Let me know if you need further details or clarification! Here are some related questions you might find interesting:
- How do you find the magnitude of a vector?
- How do you represent a vector in 3D space?
- What is the concept of vector direction and how is it different from its magnitude?
- How do you add or subtract vectors in component form?
- How do you perform scalar multiplication on a vector?
Tip: Always double-check your subtraction of coordinates to ensure accurate component vectors!
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Math Problem Analysis
Mathematical Concepts
Vectors
Coordinate Geometry
Formulas
Vector Component Form: ⟨Dx - Cx, Dy - Cy⟩
Theorems
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Suitable Grade Level
Grades 9-10