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I can assist you with solving any of the problems listed in the image. Let me know which one you'd like to start with, or if you'd prefer I solve all of them step-by-step.

Here’s a quick breakdown of the problems shown:

1. **Magnitude of a Vector** – Calculating the magnitude of a given vector.
2. **Addition of Vectors** – Summing two vectors.
3. **Scalar (Dot) Product** – Finding the dot product of two vectors.
4. **Vector (Cross) Product** – Finding the cross product of two vectors.
5. **Angle Between Two Vectors** – Calculating the angle between two vectors.
6. **Projection of a Vector** – Finding the projection of one vector onto another.
7. **Unit Vector** – Finding a unit vector in the direction of a given vector.
8. **Resultant of Two Vectors** – Finding the resultant of two forces using vectors.
9. **Collinearity of Vectors** – Checking if two vectors are collinear.
10. **Unit Vector Perpendicular to a Plane** – Finding a unit vector perpendicular to a plane.

Which one would you like to start with, or would you prefer I proceed in order?

Find the magnitude of the vector A = 3i + 4j + 12k.

Learn how to calculate the magnitude of the vector A = 3i + 4j + 12k using the standard formula for 3D vectors. This problem is suitable for high school students and covers key concepts of linear algebra.

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