Q: If G = (1, 0, 1) and H = (0, 1, 0), find G · H.
Solution: G · H = 1*0 + 0*1 + 1*0 = 0 + 0 + 0 = 0.
Steps: 6
Step 1: Identify the components of vectors G and H. G has components (1, 0, 1) and H has components (0, 1, 0).
Step 2: Multiply the corresponding components of G and H. This means we will multiply the first component of G with the first component of H, the second component of G with the second component of H, and the third component of G with the third component of H.
Step 3: Perform the multiplications: 1*0, 0*1, and 1*0.
Step 4: Calculate each multiplication: 1*0 = 0, 0*1 = 0, and 1*0 = 0.
Step 5: Add the results of the multiplications together: 0 + 0 + 0.
