If the vector a = (2, 2) is scaled by a factor of 3, what is the resulting vecto
Practice Questions
Q1
If the vector a = (2, 2) is scaled by a factor of 3, what is the resulting vector?
(6, 6)
(3, 3)
(2, 2)
(1, 1)
Questions & Step-by-Step Solutions
If the vector a = (2, 2) is scaled by a factor of 3, what is the resulting vector?
Step 1: Identify the original vector a, which is (2, 2).
Step 2: Determine the scaling factor, which is 3.
Step 3: Multiply each component of the vector a by the scaling factor. This means you will multiply 2 (the first component) by 3 and 2 (the second component) by 3.
Step 4: Calculate the first component: 3 * 2 = 6.
Step 5: Calculate the second component: 3 * 2 = 6.
Step 6: Combine the results from Step 4 and Step 5 to form the new vector: (6, 6).
Vector Scaling – Scaling a vector involves multiplying each component of the vector by a scalar factor.
