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You found the sum of two vectors by graphical and component methods. Which method do yo think was the most accurate? O Component Method Graphical medtod Question 9 If vector C = A + B, then will B + A also be equal to C?

a.True
b.False

1 Answer

6 votes

Final answer:

The component method of vector addition is more accurate than the graphical method and vector addition is commutative, so C = A + B is equivalent to C = B + A.

Step-by-step explanation:

When comparing the graphical method and the component method of vector addition, the component method tends to be more accurate. This is because it involves calculating the exact numerical values of the vectors’ components using equations, thereby eliminating the potential errors that can occur with the graphical method, such as inaccuracies with a ruler or protractor.

Regarding the commutative property of vector addition, if vector C = A + B, then B + A will also be equal to C. This is true because vector addition is commutative, which means that the order in which vectors are added does not affect the resultant vector.

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User Bep
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