If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is the vector A - B?

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Question: If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is the vector A - B?

Options:

Correct Answer: (-3, -3, -3)

Solution:

A - B = (1-4, 2-5, 3-6) = (-3, -3, -3).

If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is the vector A - B?

If vector A = (1, 2, 3) and vector B = (4, 5, 6), what is the vector A - B?

Step 1: Identify the components of vector A, which are (1, 2, 3).
Step 2: Identify the components of vector B, which are (4, 5, 6).
Step 3: Subtract the first component of vector B from the first component of vector A: 1 - 4.
Step 4: Subtract the second component of vector B from the second component of vector A: 2 - 5.
Step 5: Subtract the third component of vector B from the third component of vector A: 3 - 6.
Step 6: Write down the results of the subtractions: (-3, -3, -3).

Vector Subtraction – The operation of subtracting corresponding components of two vectors.