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Let's solve the problems one by one based on the information in the image.

### Problem 1:
Given vector **C** with endpoint coordinates (3, 8) and origin coordinates (1, 7):

1. **Determine vector C**:  
   Vector **C** can be found by subtracting the coordinates of the origin from the coordinates of the endpoint:  
   \[
   \vec{C} = (x_2 - x_1, y_2 - y_1) = (3 - 1, 8 - 7) = (2, 1)
   \]

2. **Magnitude of vector C**:  
   The magnitude \(|\vec{C}|\) of vector **C** is calculated using the formula:  
   \[
   |\vec{C}| = \sqrt{(

Learn how to calculate vector C from endpoint coordinates (3, 8) and origin coordinates (1, 7) using basic vector subtraction and magnitude formulas. Suitable for students in Grades 9-12 studying vectors and coordinate geometry.

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