**Apprentice Level**: Question Groups 1-3; add 2 vectors**Masters Level**: Question Groups 4-6; add 3 vectors**Wizard Level**: Question Groups 7-9; add 4 vectors

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The following diagram is used in all questions:

**Question Groups 1-3 all use the following table:**

**Question Group 1**

**Question 1**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

D + G = ???

**Question 2**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

D + G = ???

**Question 3**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

D + G = ???

**Question Group 2**

**Question 4**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

H + F = ???

**Question 5**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

H + F = ???

**Question 6**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

H + F = ???

**Question Group 3**

**Question 7**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

C + G = ???

**Question 8**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

C + G = ???

**Question 9**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

C + G = ???

**Question Groups 4-6 all use the following table:**

**Question Group 4**

**Question 10**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

B + C + G = ???

**Question 11**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

B + C + G = ???

**Question 12**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

B + C + G = ???

**Question Group 5**

**Question 13**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

H + F + I = ???

**Question 14**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

H + F + I = ???

**Question 15**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

H + F + I = ???

**Question Group 6**

**Question 16**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

A + F + D = ???

**Question 17**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

A + F + D = ???

**Question 18**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

A + F + D = ???

**Question Groups 7-9 all use the following table:**

**Question Group 7**

**Question 19**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

A + H + C + D = ???

**Question 20**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

A + H + C + D = ???

**Question 21**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

A + H + C + D = ???

**Question Group 8**

**Question 22**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

H + B + G + I = ???

**Question 23**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

H + B + G + I = ???

**Question 24**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

H + B + G + I = ???

**Question Group 9**

**Question 25**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 5 km along its edge

F + D + C + B = ???

**Question 26**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 10 km along its edge

F + D + C + B = ???

**Question 27**

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table.

Scale: 1 square = 20 km along its edge

F + D + C + B = ???

**The following graphic appears on all questions:**