Question
What is the vector of angle A (-6,-2) B (-4, -5) and C (-1,-5) to E (4,6) G (7, 6) and H 2, 3)
Answers
GPT-4o mini
To find the vectors for the points provided, we will first define the vectors for each of the given points. We will represent the vectors from point A to point B, then from point B to point C, and so on for the second set of points.
**1. Vectors for Points A, B, C:**
- Point A = (-6, -2)
- Point B = (-4, -5)
- Point C = (-1, -5)
Now we can calculate the vectors:
- **Vector AB**:
\[
\vec{AB} = B - A = (-4, -5) - (-6, -2) = (-4 + 6, -5 + 2) = (2, -3)
\]
- **Vector BC**:
\[
\vec{BC} = C - B = (-1, -5) - (-4, -5) = (-1 + 4, -5 + 5) = (3, 0)
\]
**2. Vectors for Points E, G, H:**
- Point E = (4, 6)
- Point G = (7, 6)
- Point H = (2, 3)
Now calculate the vectors:
- **Vector EG**:
\[
\vec{EG} = G - E = (7, 6) - (4, 6) = (7 - 4, 6 - 6) = (3, 0)
\]
- **Vector GH**:
\[
\vec{GH} = H - G = (2, 3) - (7, 6) = (2 - 7, 3 - 6) = (-5, -3)
\]
### Summary of Vectors:
From points A, B, C:
- \(\vec{AB} = (2, -3)\)
- \(\vec{BC} = (3, 0)\)
From points E, G, H:
- \(\vec{EG} = (3, 0)\)
- \(\vec{GH} = (-5, -3)\)
These are the vectors corresponding to the points provided. If you had a specific angle or other calculations in mind with these vectors, please provide that context!
**1. Vectors for Points A, B, C:**
- Point A = (-6, -2)
- Point B = (-4, -5)
- Point C = (-1, -5)
Now we can calculate the vectors:
- **Vector AB**:
\[
\vec{AB} = B - A = (-4, -5) - (-6, -2) = (-4 + 6, -5 + 2) = (2, -3)
\]
- **Vector BC**:
\[
\vec{BC} = C - B = (-1, -5) - (-4, -5) = (-1 + 4, -5 + 5) = (3, 0)
\]
**2. Vectors for Points E, G, H:**
- Point E = (4, 6)
- Point G = (7, 6)
- Point H = (2, 3)
Now calculate the vectors:
- **Vector EG**:
\[
\vec{EG} = G - E = (7, 6) - (4, 6) = (7 - 4, 6 - 6) = (3, 0)
\]
- **Vector GH**:
\[
\vec{GH} = H - G = (2, 3) - (7, 6) = (2 - 7, 3 - 6) = (-5, -3)
\]
### Summary of Vectors:
From points A, B, C:
- \(\vec{AB} = (2, -3)\)
- \(\vec{BC} = (3, 0)\)
From points E, G, H:
- \(\vec{EG} = (3, 0)\)
- \(\vec{GH} = (-5, -3)\)
These are the vectors corresponding to the points provided. If you had a specific angle or other calculations in mind with these vectors, please provide that context!