Question: Find the magnitude of the vector (3, 4).
Options:
5
7
6
4
Correct Answer: 5
Solution:
Magnitude = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Find the magnitude of the vector (3, 4).
Practice Questions
Q1
Find the magnitude of the vector (3, 4).
5
7
6
4
Questions & Step-by-Step Solutions
Find the magnitude of the vector (3, 4).
Step 1: Identify the components of the vector. The vector is (3, 4), where 3 is the x-component and 4 is the y-component.
Step 2: Square the x-component. Calculate 3^2, which is 9.
Step 3: Square the y-component. Calculate 4^2, which is 16.
Step 4: Add the squared values together. Add 9 and 16 to get 25.
Step 5: Take the square root of the sum. Calculate √25, which equals 5.
Step 6: The magnitude of the vector (3, 4) is 5.
Vector Magnitude – The magnitude of a vector in a two-dimensional space is calculated using the Pythagorean theorem, which involves squaring the components, summing them, and taking the square root.
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