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Given two vectors A: 5 meters East and B: 6 meters 30° North of East. What is another way of writing vector A?

A) 5 meters 0°
B) 5 meters 90°
C) 5 meters 180°
D) 5 meters 270°

1 Answer

3 votes

Final answer:

Vector A, which is 5 meters East, can be written as 5 meters 0° since East aligns with the positive x-axis, thus the angle is 0° relative to East.

Step-by-step explanation:

The given two vectors are A: 5 meters East and B: 6 meters 30° North of East. Another way of writing vector A is to reference its direction relative to the positive x-axis (East being the positive x-direction in a standard coordinate system). Since vector A is pointing directly East with no angle to the north or south, it is equivalent to an angle of 0° relative to the positive x-axis. Therefore, the correct answer is 5 meters 0° which corresponds to answer choice A).

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