Find the magnitude of the vector A = 3i - 4j. (2020)

Find the magnitude of the vector A = 3i - 4j. (2020)

Step 1: Identify the components of the vector A. Here, A = 3i - 4j means the x-component is 3 and the y-component is -4.
Step 2: Write down the formula for the magnitude of a vector. The formula is |A| = √(x^2 + y^2).
Step 3: Substitute the x and y components into the formula. So, |A| = √(3^2 + (-4)^2).
Step 4: Calculate 3^2, which is 9.
Step 5: Calculate (-4)^2, which is 16.
Step 6: Add the results from Step 4 and Step 5. So, 9 + 16 = 25.
Step 7: Take the square root of 25. √25 = 5.
Step 8: Conclude that the magnitude of vector A is 5.

Vector Magnitude – The magnitude of a vector is calculated using the Pythagorean theorem, which involves squaring the components of the vector, summing them, and taking the square root.