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Are Two Vectors With The Same Magnitude Necessarily Equal?
INSTRUCTION ON HOW TO USE GEOGEBRA TO PRACTICE VECTOR GRAPHING
Step 1: Delete text1 by selecting it and then selecting ⊠
Step 2: Delete conic equation labeled "c" and "d" and then selecting ⊠
Step 3: Display the grid lines 
Step 4: Select point icon 
Step 5: Click the origin, (0,0) as you first point A, next click (4,0) as your point B, next click (4,1) as your point C and click (0,1) as your point D
Step 6: Display the vector icon 
Step 7: Click the point C (4,1), next drag to point D(0,1) . Vector tells the direction of arrow is pointing to West.
Step 8: Click the point A (0,0), next drag to point B ( 4, 0). Vector tells the direction of this arrow is pointing to East.
Step 9: Conclusion both vectors have the same length (also called magnitude) but both arrows have different direction. Therefore the two vectors are not the same or equal.
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