Graphicalvector addition worksheet - Free Printable

To solve the problems in this worksheet, we need to use graphical vector addition and subtraction. Here's a step-by-step explanation of how to approach each problem:

Key Concepts:

1. Vector Addition: To add two vectors graphically, place the tail of the second vector at the head of the first vector. The resultant vector is the one that starts at the tail of the first vector and ends at the head of the second vector.
2. Vector Subtraction: To subtract a vector \( \mathbf{B} \) from \( \mathbf{A} \), add the negative of \( \mathbf{B} \) to \( \mathbf{A} \). The negative of a vector is the same vector but in the opposite direction.

Steps to Solve:

1. Identify the vectors given in the problem.
2. Use the grid to perform vector addition or subtraction graphically.
3. Compare the resultant vector with the options provided in the image.

Solutions:

#### 1. \( H + O = \)
- Add vector \( H \) and vector \( O \).
- Result: Vector \( P \)

#### 2. \( A + C + D = \)
- Add vector \( A \), vector \( C \), and vector \( D \).
- Result: Vector \( L \)

#### 3. \( Y + R = \)
- Add vector \( Y \) and vector \( R \).
- Result: Vector \( K \)

#### 4. \( K = - \)
- Find the negative of vector \( K \).
- Result: Vector \( T \)

#### 5. \( -B = \)
- Find the negative of vector \( B \).
- Result: Vector \( G \)

#### 6. \( X - Y = \)
- Subtract vector \( Y \) from vector \( X \) (add the negative of \( Y \) to \( X \)).
- Result: Vector \( W \)

#### 7. \( Q - A = \)
- Subtract vector \( A \) from vector \( Q \) (add the negative of \( A \) to \( Q \)).
- Result: Vector \( M \)

#### 8. \( V - W = \)
- Subtract vector \( W \) from vector \( V \) (add the negative of \( W \) to \( V \)).
- Result: Vector \( U \)

#### 9. \( J - B = \)
- Subtract vector \( B \) from vector \( J \) (add the negative of \( B \) to \( J \)).
- Result: Vector \( S \)

#### 10. \( W + R + M = \)
- Add vector \( W \), vector \( R \), and vector \( M \).
- Result: Vector \( N \)

#### 11. \( X + K + B = \)
- Add vector \( X \), vector \( K \), and vector \( B \).
- Result: Vector \( I \)

#### 12. \( U + N + Y = \)
- Add vector \( U \), vector \( N \), and vector \( Y \).
- Result: Vector \( O \)

#### 13. \( U + Y - D = \)
- Add vector \( U \) and vector \( Y \), then subtract vector \( D \).
- Result: Vector \( F \)

#### 14. \( U + M + F = \)
- Add vector \( U \), vector \( M \), and vector \( F \).
- Result: Vector \( E \)

#### 15. \( E + O - A = \)
- Add vector \( E \) and vector \( O \), then subtract vector \( A \).
- Result: Vector \( H \)

#### 16. \( I + C + S = \)
- Add vector \( I \), vector \( C \), and vector \( S \).
- Result: Vector \( J \)

#### 17. \( F + I - J = \)
- Add vector \( F \) and vector \( I \), then subtract vector \( J \).
- Result: Vector \( B \)

#### 18. \( U - S - T = \)
- Subtract vector \( S \) and vector \( T \) from vector \( U \).
- Result: Vector \( V \)

#### 19. \( X - C + L - J = \)
- Subtract vector \( C \) and vector \( J \) from vector \( X \), then add vector \( L \).
- Result: Vector \( R \)

#### 20. \( L + M - F - O = \)
- Add vector \( L \) and vector \( M \), then subtract vector \( F \) and vector \( O \).
- Result: Vector \( D \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & P \\
2. & L \\
3. & K \\
4. & T \\
5. & G \\
6. & W \\
7. & M \\
8. & U \\
9. & S \\
10. & N \\
11. & I \\
12. & O \\
13. & F \\
14. & E \\
15. & H \\
16. & J \\
17. & B \\
18. & V \\
19. & R \\
20. & D \\
\end{array}
}
\]