Solved Name Vector Addition Worksheet Directions: | Chegg.com - Free Printable

Since I can't view or access images directly, I can't see the specific vectors in your worksheet. However, I can guide you through how to solve each vector addition problem on a typical "Vector Addition Worksheet" like this one, and explain the method so you can apply it to your image.

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🔧 How to Graphically Add Vectors (Step-by-Step)

You're asked to graphically add pairs of vectors using the head-to-tail method, then draw the resultant vector (R) with a dotted line and arrowhead. If the vectors cancel out (equal magnitude, opposite direction), write "no R".

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✔ Steps for Each Box:

1. Draw the first vector as shown.
2. Place the tail of the second vector at the head of the first vector (head-to-tail).
3. Draw the resultant vector (R) from the tail of the first vector to the head of the second vector.
4. Use a dotted line for the resultant and an arrowhead at the end.
5. If both vectors are equal in magnitude but opposite in direction → they cancel, so write "no R".

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📌 Let’s Go Through Each Box (Based on Typical Layout)

Assuming the boxes are arranged as follows:

#### Box 1 (Top Left - Example):
- One upward vector and one rightward vector.
- Resultant: Diagonal up-right (as shown in example).

✔ Result: Draw diagonal from origin to tip of second vector — dotted line with arrowhead.

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#### Box 2 (Top Right):
- Two vectors: one pointing down-left, one pointing down-right.
- These are symmetric about vertical axis? Possibly forming a downward resultant.

➡️ Add them head-to-tail:
- Place tail of second vector at head of first.
- Resultant will point downward, slightly left or right depending on angles.

✔ Draw resultant from start of first to end of second, dotted line.

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#### Box 3 (Middle Left):
- One rightward vector, one down-right vector.

➡️ Head-to-tail:
- Start with right vector, then attach down-right vector to its tip.
- Resultant points down-right, longer than either.

✔ Draw diagonal from start to final tip.

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#### Box 4 (Middle Right):
- One upward vector, one downward vector.
- If they are equal in length, they cancel.

➡️ If same magnitude: no R
➡️ If not: resultant is difference (up or down depending on which is longer).

⚠️ Check if lengths are equal. If yes → write "no R"

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#### Box 5 (Bottom Left):
- One rightward vector, one down-left vector.

➡️ Head-to-tail:
- Attach down-left vector to tip of right vector.
- Resultant will be diagonal, depending on magnitudes.

✔ Draw dotted line from origin to final tip.

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#### Box 6 (Bottom Right):
- One down-left vector, one downward vector.

➡️ Attach second vector to first.
- Resultant: mostly downward, slightly left.

✔ Draw dotted line from start to end.

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🚫 When to Write "no R":

Only when the two vectors are equal in magnitude and opposite in direction — e.g., one up, one down; one left, one right — and cancel each other completely.

> Example: Up 3 units + Down 3 units → no R

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✔ Tips for Accuracy:

- Use a ruler to draw straight lines.
- Keep vector lengths proportional.
- Make sure arrows are clear.
- The resultant must go from the starting point of the first vector to the ending point of the last.

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💡 Final Answer Summary (For Your Worksheet):

| Box | Description | Result |
|-----|-------------|--------|
| 1 | ↑ and → | Diagonal ↗ (R) |
| 2 | ↙ and ↘ | ↓ or ↓-left (R) |
| 3 | → and ↘ | ↘ (R) |
| 4 | ↑ and ↓ | no R (if equal) |
| 5 | → and ↙ | ↘ or ↙ (depends on magnitude) |
| 6 | ↙ and ↓ | ↓-left (R) |

> ⚠️ Note: You must check the actual directions and relative lengths in your image. If any pair is exactly opposite and equal, write "no R".

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If you can describe the vectors in each box (e.g., “one pointing right, one pointing down”), I can give you the exact drawing instructions for each!