![linear algebra - Prove that the norm of the rejection of vector a on vector b is equal to the norm of the cross product between a and normalized b - Mathematics linear algebra - Prove that the norm of the rejection of vector a on vector b is equal to the norm of the cross product between a and normalized b - Mathematics](https://i.stack.imgur.com/NmjwD.jpg)
linear algebra - Prove that the norm of the rejection of vector a on vector b is equal to the norm of the cross product between a and normalized b - Mathematics
![SOLVED: The cross product of two 3-vectors, a = (a1, a2, a3) and b = (b1, b2, b3), is calculated as axb = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1). SOLVED: The cross product of two 3-vectors, a = (a1, a2, a3) and b = (b1, b2, b3), is calculated as axb = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1).](https://cdn.numerade.com/ask_images/e5d809cf501e494ba258065a5e1f45ba.jpg)
SOLVED: The cross product of two 3-vectors, a = (a1, a2, a3) and b = (b1, b2, b3), is calculated as axb = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1).
![SOLVED: Norm of matrix-vector product. Suppose A is an m x n matrix and x is an n-vector. A famous inequality relates ||z||, ||A||, and ||Az||: ||Az|| < ||A|| ||z||. The left-hand SOLVED: Norm of matrix-vector product. Suppose A is an m x n matrix and x is an n-vector. A famous inequality relates ||z||, ||A||, and ||Az||: ||Az|| < ||A|| ||z||. The left-hand](https://cdn.numerade.com/ask_images/29f6543337a84da7969413f9100190c9.jpg)