Step 1: Identify the coordinates of points G and H. G = (2, 2) means G has an x-coordinate of 2 and a y-coordinate of 2. H = (3, -1) means H has an x-coordinate of 3 and a y-coordinate of -1.
Step 2: Use the formula for the dot product of two points (or vectors). The formula is G · H = (G's x-coordinate * H's x-coordinate) + (G's y-coordinate * H's y-coordinate).
Step 3: Substitute the values into the formula. G · H = (2 * 3) + (2 * -1).
Step 4: Calculate the first part: 2 * 3 = 6.
Step 5: Calculate the second part: 2 * -1 = -2.
Step 6: Add the results from Step 4 and Step 5: 6 + (-2) = 6 - 2 = 4.
Step 7: Conclude that G · H = 4.
Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.
