Let u, v and w be vectors satisfying
u*v=3, u*w=4, v*w=5.
Then what are
(u+2v)*w, (w-u)*v, (3v-2w)*u
equal to? Enter the list in the order above
+26367 Let u, v and w be vectors satisfying
\(u*v=3, u*w=4, v*w=5\).
Then what are
\((u+2v)*w, (w-u)*v, (3v-2w)*u\)
equal to?
\(\begin{array}{|rcll|} \hline && \mathbf{ (u+2v)*w} \\ &=& u*w+2v*w \\ &=& 4+ 2*5 \\ &=& \mathbf{14} \\ \hline && \mathbf{(w-u)*v} \\ &=& w*v-u*v \\ &=& 5 -3 \\ &=& \mathbf{2} \\ \hline && \mathbf{(3v-2w)*u} \\ &=& 3v*u-2w*u \\ &=& 3*3-2*4 \\ &=& \mathbf{1} \\ \hline \end{array}\)
+26367 Let u, v and w be vectors satisfying
\(u*v=3, u*w=4, v*w=5\).
Then what are
\((u+2v)*w, (w-u)*v, (3v-2w)*u\)
equal to?
\(\begin{array}{|rcll|} \hline && \mathbf{ (u+2v)*w} \\ &=& u*w+2v*w \\ &=& 4+ 2*5 \\ &=& \mathbf{14} \\ \hline && \mathbf{(w-u)*v} \\ &=& w*v-u*v \\ &=& 5 -3 \\ &=& \mathbf{2} \\ \hline && \mathbf{(3v-2w)*u} \\ &=& 3v*u-2w*u \\ &=& 3*3-2*4 \\ &=& \mathbf{1} \\ \hline \end{array}\)
