Transcribed Image Text:**Constructing Vectors with Initial Point**
To construct the vector \(0.6 \mathbf{c} + 0.8 \mathbf{d}\) with initial point \(P\):
1. **Reference Instructions**
- Use the given tools to move and scale the provided vectors as needed.
- Ensure the resulting vector originates from point \(P\).
2. **Graph Explanation**
- The plot features two vectors:
- **Vector 1:** Labeled as \(1.0 \mathbf{c}\) and projecting from a specific point in the top-left direction.
- **Vector 2:** Labeled as \(1.0 \mathbf{d}\) and projecting from another point towards the lower-right direction.
- The initial point \(P\) is marked in the graph.
3. **Tool Instructions**
- On the sidebar, the tools include:
- A four-way arrow icon for moving the vectors.
- A vertical arrow icon for scaling the vectors.
- A separate arrow for rotating or adjusting directionality.
- An eraser icon for any corrections or deletions.
- Other icons to close, reset (represented by a circular arrow), and access help (question mark).
Use these tools effectively to adjust vector lengths to \(0.6 \mathbf{c}\) and \(0.8 \mathbf{d}\), then align and position them correctly to achieve the desired resultant vector starting at point \(P\).
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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