What is the unit vector in the direction of vector A = (3, 4)?
Practice Questions
Q1
What is the unit vector in the direction of vector A = (3, 4)?
(0.6, 0.8)
(0.8, 0.6)
(1, 1)
(0, 0)
Questions & Step-by-Step Solutions
What is the unit vector in the direction of vector A = (3, 4)?
Step 1: Identify the vector A, which is given as (3, 4).
Step 2: Calculate the magnitude (length) of vector A using the formula |A| = √(x^2 + y^2), where x and y are the components of the vector. Here, |A| = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Step 3: To find the unit vector, divide each component of vector A by its magnitude. This means we calculate (3 / 5, 4 / 5).
Step 4: Perform the division: 3 / 5 = 0.6 and 4 / 5 = 0.8.
Step 5: The unit vector in the direction of vector A is (0.6, 0.8).
