$\vec{b}$

$\vec{a}$

$\vec{c} = \vec{b} - \vec{a} $

|\vec{a}|^2 =(-10)^2+(-3)^2+2^2=113

|\vec{b}|^2 =(-1)^2+4^2+1^2=18

|\vec{c}|^2 =9^2+7^2+(-1)^2=131

Q: (4, 3, 2)
R: (-6, 0, 3)
P: (5, -1, 1)
S: (-5, -4, 3)
pq = Vector(P, Q)
ps = Vector(P, S)
a: (pq * ps)
rs = Vector(R, S)
rq = Vector(R, Q)
b: (rs * rq)
c: (rs * ps)
sq = Vector(S, Q)
Text1: "\vec{a} = \left(\begin{array}{c} a_1\\a_2\\ a_3\end{array}\right) = \left(\begin{array}{c} " + (LaTeX[x(ps)]) + "\\" + (LaTeX[y(ps)]) + "\\ " + (LaTeX[z(ps)]) + "\end{array}\right) "
Text2: "\vec{b} = \left(\begin{array}{c} b_1\\b_2\\ b_3\end{array}\right)  = \left(\begin{array}{c} " + (LaTeX[x(pq)]) + "\\" + (LaTeX[y(pq)]) + "\\ " + (LaTeX[z(pq)]) + "\end{array}\right) "
Text3: "\vec{c} = \vec{b} - \vec{a} = \left(\begin{array}{c} b_1-a_1\\b_2-a_2\\ b_3-a_3\end{array}\right) =   \left(\begin{array}{c} " + (LaTeX[x(sq)]) + "\\" + (LaTeX[y(sq)]) + "\\ " + (LaTeX[z(sq)]) + "\end{array}\right) "