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It looks like you've uploaded an image containing multiple math problems, specifically focused on vectors and geometry in three-dimensional space. I can help you solve them one by one, or all at once. Here’s a quick summary of the problems in the image:

1. **Question 1:** Given a vector **OM** and its components, find the coordinates of point M.
2. **Question 2:** Given points A and B in 3D space, find the coordinates of the midpoint M.
3. **Question 3:** Identifying a point lying on a given coordinate axis.
4. **Question 4:** Find a point on the plane defined by a given vector equation.
5. **Question 5:** Given a vector, determine its projections on the coordinate axes.
6. **Question 6:** Calculate the coordinates of a vector formed by two given points.
7. **Question 7:** Find the coordinates of a point given a position vector and an expression for another point.

Please confirm if you'd like detailed step-by-step solutions for each of these, or if you want to start with specific ones.

Also, let me know if you would like details or further clarification. 

Here are 5 questions for deeper exploration:

1. How do you find the midpoint of two points in 3D space?
2. What is the general form of a vector in 3D space?
3. How can you find the projection of a vector onto the coordinate axes?
4. What does it mean for a point to lie on a specific axis?
5. How do you compute the magnitude of a vector in 3D space?

**Tip:** When working with vectors in 3D, it’s important to remember how to represent and manipulate them using their component form \( (x, y, z) \).

The image contains multiple math problems related to vectors and geometry in 3D space, such as finding point coordinates, vector projections, and midpoints.

This page provides solutions to various 3D vector problems, including calculating point coordinates, finding midpoints, determining vector projections, and solving plane equations. The problems are ideal for students in Grades 10-12.

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