![Scalar product or dot product or inner product, Orthogonality or perpendicularity of two vectors, Different positions of two vectors and the corresponding values of the scalar product, Square of magnitude of a Scalar product or dot product or inner product, Orthogonality or perpendicularity of two vectors, Different positions of two vectors and the corresponding values of the scalar product, Square of magnitude of a](http://www.nabla.hr/ScalarProductFig.gif)
Scalar product or dot product or inner product, Orthogonality or perpendicularity of two vectors, Different positions of two vectors and the corresponding values of the scalar product, Square of magnitude of a
![SOLVED: Consider the inner product space R^5 where vector addition and scalar multiplication are defined in the usual way and the inner product on R^5 x R^5 is the standard dot product. SOLVED: Consider the inner product space R^5 where vector addition and scalar multiplication are defined in the usual way and the inner product on R^5 x R^5 is the standard dot product.](https://cdn.numerade.com/ask_images/2c5b4b18788a4a2c8bdda1697ff81494.jpg)
SOLVED: Consider the inner product space R^5 where vector addition and scalar multiplication are defined in the usual way and the inner product on R^5 x R^5 is the standard dot product.
![linear algebra - understanding the meaning of scalar in the inner product definition. - Mathematics Stack Exchange linear algebra - understanding the meaning of scalar in the inner product definition. - Mathematics Stack Exchange](https://i.stack.imgur.com/ktpbt.png)