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Answer :
Answer:
The magnitude of a vector with components x and y is calculated using the Pythagorean theorem, resulting in the square root of the sum of the squares of the components.
Explanation:
The magnitude of a vector is found by using the Pythagorean theorem for the components of the vector. For a vector with an x-component and a y-component, the magnitude (also known as the length or size) of the vector can be calculated as the square root of the sum of the squares of its components.
For example, if we have a vector with an x-component of 4 cm and a y-component of 3 cm, we can calculate the magnitude as:
Magnitude = √(4^2 + 3^2) = √(16 + 9) = √25 = 5 cm.
Thus, the correct answer to the practice problem is 5 cm.
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