Step 1: Identify the two vectors. The first vector is (1, 0, 0) and the second vector is (0, 1, 0).
Step 2: Write down the formula for the cross product of two vectors A = (a1, a2, a3) and B = (b1, b2, b3). The formula is: A × B = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1).
Step 3: Substitute the values from the vectors into the formula. Here, A = (1, 0, 0) and B = (0, 1, 0). So, a1 = 1, a2 = 0, a3 = 0, b1 = 0, b2 = 1, b3 = 0.
Step 4: Calculate each component of the cross product using the formula.
Component 1: a2*b3 - a3*b2 = 0*0 - 0*1 = 0.
Component 2: a3*b1 - a1*b3 = 0*0 - 1*0 = 0.
Component 3: a1*b2 - a2*b1 = 1*1 - 0*0 = 1.
Step 5: Combine the components to get the final result. The cross product is (0, 0, 1).
