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 step-by-step so you can apply it to your image.

---

🔧 How to Graphically Add Vectors (Head-to-Tail Method)

1. Draw the first vector as shown.
2. Place the tail of the second vector at the head (arrow tip) of the first vector.
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 add an arrowhead.
5. If the vectors cancel out (e.g., equal magnitude, opposite direction), write "no R".

---

Let’s go through each box based on common configurations (since I can’t see the image). I’ll describe what likely appears and how to solve it.

---

🟦 Box 1 (Example):

- One vector pointing up, one pointing right.
- Resultant: Draw from origin to top-right corner → forms a right triangle.
- ✔ Resultant (R) is diagonal, dotted line from start to end.

> ✔️ This is correct as shown.

---

🟦 Box 2 (Top Right):

- Two vectors: one pointing down-left, one pointing down-right.
- Likely both have same length and are symmetric about vertical axis.
- When added head-to-tail:
- Place tail of second at head of first.
- Resultant will be straight down (if symmetric).
- ✔ Draw resultant downward with dotted line.

> ⚠️ If they are equal and opposite, then no R — but here they're not opposite, just angled.

---

🟦 Box 3 (Middle Left):

- One vector pointing right, one pointing down-right.
- Place tail of down-right vector at head of right vector.
- Resultant goes from origin to final point — diagonally down-right.
- ✔ Draw dotted line from start to end.

---

🟦 Box 4 (Middle Right):

- One vector pointing up, one pointing down.
- If they are equal in length, they cancel.
- ✔ Write "no R".
- If not equal, draw resultant in direction of larger vector.

> 💡 Example: Up = 3 units, Down = 2 units → Resultant = 1 unit upward.

---

🟦 Box 5 (Bottom Left):

- One vector pointing right, one pointing down-left.
- Place tail of down-left at head of right vector.
- Resultant will be from origin to final point — likely slightly down or diagonal depending on angles.
- ✔ Draw dotted line from start to end.

---

🟦 Box 6 (Bottom Right):

- One vector pointing down, one pointing down-left.
- Place tail of second at head of first.
- Resultant will be downward and leftward.
- ✔ Draw dotted line from origin to end.

---

✔ General Tips:

| Situation | Result |
|--------|--------|
| Two vectors in same direction | Add them; resultant longer |
| Two vectors in opposite directions | Subtract; resultant in direction of larger |
| Two vectors at 90° | Use Pythagoras for magnitude; tangent for angle |
| Equal magnitude, opposite direction | No R |
| Vectors form a closed loop? | No R |

---

📝 How to Fill It In:

For each box:
1. Sketch the two vectors head-to-tail.
2. Draw the resultant (dotted line) from start to finish.
3. Label it with R.
4. If no net displacement → write "no R".

---

🛠️ Tools You Might Need:

- Ruler
- Protractor (for angles)
- Pencil (to sketch)

---

If you can describe the vectors in each box (e.g., “one up, one right”, “one left, one down-left”), I can give exact solutions for each.

Or, if you can type out the vector directions, I’ll walk you through each one!