https://r2.erweima.ai/mathbot/image/1726190087677mrldpoiq.jpg

The image shows the addition of two points or vectors in coordinate form. The expression given is:

\[
(3, 4) + (6, 8) = (9, 12)
\]

To verify this, we perform vector addition by adding the corresponding components:

- The x-coordinates: \(3 + 6 = 9\)
- The y-coordinates: \(4 + 8 = 12\)

The result is indeed:

\[
(9, 12)
\]

The calculation in the image is correct. The "x" mark in red may have been intended for something else, but the sum itself is accurate.

Would you like more details on vector addition or have any other questions?

Here are 5 related questions for further exploration:
1. What is vector subtraction, and how is it calculated?
2. How can vector addition be applied in physics, such as in force calculations?
3. What are some real-world examples of vector addition?
4. How do you find the magnitude of a vector given its coordinates?
5. What are unit vectors, and how are they used in mathematics?

**Tip:** Remember that vector addition follows the "tip-to-tail" rule graphically, which can help in visualizing and solving problems!

Learn how to perform vector addition with the example (3,4) + (6,8). This problem explores key concepts in coordinate geometry and vector addition. The correct result is (9,12). Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation