Assuming that there are two orthogonal unit vectors α and β in two-dimensional space, A and B represent the size of vectors respectively, and their included angle is θ, then the inner product is defined as ab*cosθ.

Because the included angle between two orthogonal unit vectors is 90 and COS 90° = 0°, the inner product of two orthogonal unit vector groups is 0.

Extended data:

The inner product is also a dot product, and the algorithm of dot product is:

1, the calculation order is from left to right, two vectors are multiplied, and the position of the exchange vector remains unchanged.

2. When a number is multiplied by two vectors, the first two vectors are multiplied by another number, or one vector is multiplied by one number and then multiplied by another vector, the product remains unchanged.

3. When the sum of two vectors is multiplied by a vector, you can multiply this vector separately, and then add the products.