Geometrically, the inner product is the projection length of one vector A to another vector B multiplied by the length of vector B, and the projection result is positive in the same direction and negative in the opposite direction. When orthogonal, the projection length is 0, so the result is 0.
Because p 1 (AQ) = (p 1A) q
P 1q=0 because m is not equal to n.
(p, q)=0, so p and q are orthogonal.
P 1 indicates the translocation of P, A 1 indicates the translocation of A, and (Ap) 1 indicates the translocation of Ap.
"orthogonal vector"
Is a mathematical term that refers to two or more vectors whose product is zero. The concept of geometric vector is abstracted from linear algebra to get a more general concept of vector. Here, a vector is defined as an element of a vector space. It should be noted that these abstract vectors are not necessarily represented by number pairs, and the concepts of size and direction are not necessarily applicable. In a three-dimensional vector space, if the inner product of two vectors is zero, the two vectors are said to be orthogonal.