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What is the magnitude of the vector (3, 4)?
What is the magnitude of the vector (3, 4)?
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Practice Questions
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Q1
What is the magnitude of the vector (3, 4)?
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Magnitude = √(3^2 + 4^2) = √(9 + 16) = √25 = 5
Questions & Step-by-step Solutions
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Q
Q: What is the magnitude of the vector (3, 4)?
Solution:
Magnitude = √(3^2 + 4^2) = √(9 + 16) = √25 = 5
Steps: 5
Show Steps
Step 1: Identify the components of the vector. The vector (3, 4) has two components: 3 and 4.
Step 2: Square each component. Calculate 3^2 which is 9, and 4^2 which is 16.
Step 3: Add the squared values together. Add 9 and 16 to get 25.
Step 4: Take the square root of the sum. Calculate √25 which equals 5.
Step 5: The magnitude of the vector (3, 4) is 5.
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