All vectors are in ${\mathbb R}^n$.

Check the true statements below:

A. $v\cdot v = ||v||^{2}$.
B. If the distance from $u$ to $v$ is equal to the distance from $u$ to $-v$, then $u$ and $v$ are orthogonal.
C. For any scalar $c$, $u\cdot (cv)=c(u\cdot v)$.
D. If vectors $v_{1},...,v_{p}$ span a subspace $W$ and if $x$ is orthogonal to each $v_{j}$ for $j=1,...,p$, then $x$ is in $W^{\perp}$.
E. For a square matrix $A$, vectors in $Col A$ are orthogonal to vectors in $Nul A$.