If the vector A = (2, 3) is multiplied by 2, what is the resulting vector?

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Question: If the vector A = (2, 3) is multiplied by 2, what is the resulting vector?

Options:

Correct Answer: (4, 6)

Solution:

Resulting vector = 2 * A = 2 * (2, 3) = (4, 6).

If the vector A = (2, 3) is multiplied by 2, what is the resulting vector?

If the vector A = (2, 3) is multiplied by 2, what is the resulting vector?

Step 1: Identify the vector A, which is (2, 3).
Step 2: Understand that multiplying a vector by a number means multiplying each component of the vector by that number.
Step 3: Multiply the first component of vector A (which is 2) by 2. This gives you 2 * 2 = 4.
Step 4: Multiply the second component of vector A (which is 3) by 2. This gives you 2 * 3 = 6.
Step 5: Combine the results from Step 3 and Step 4 to form the new vector. The resulting vector is (4, 6).

Vector Scalar Multiplication – This concept involves multiplying each component of a vector by a scalar to obtain a new vector.