Diketahui 2u⃗+3v⃗−w⃗=4w⃗−(2u⃗−v⃗)2\vec{u}+3\vec{v}-\vec{w}=4\vec{w}-\left(2\vec{u}-\vec{v}\right)2u+3v−w=4w−(2u−v). Vektor 4u⃗+2v⃗4\vec{u}+2\vec{v}4u+2v sama dengan ....
3u⃗3\vec{u}3u
4v⃗4\vec{v}4v
5w⃗5\vec{w}5w
−2w⃗-2\vec{w}−2w
−4u⃗-4\vec{u}−4u
Diketahui 2u⃗+3v⃗−w⃗=4w⃗−(2u⃗−v⃗)2\vec{u}+3\vec{v}-\vec{w}=4\vec{w}-\left(2\vec{u}-\vec{v}\right)2u+3v−w=4w−(2u−v).
Diperoleh
2u⃗+3v⃗−w⃗=4w⃗−(2u⃗−v⃗)2\vec{u}+3\vec{v}-\vec{w}=4\vec{w}-\left(2\vec{u}-\vec{v}\right)2u+3v−w=4w−(2u−v)
⇔2u⃗+3v⃗−w⃗=4w⃗−2u⃗+v⃗\Leftrightarrow2\vec{u}+3\vec{v}-\vec{w}=4\vec{w}-2\vec{u}+\vec{v}⇔2u+3v−w=4w−2u+v
⇔2u⃗+2u⃗+3v⃗−v⃗=4w⃗+w⃗\Leftrightarrow2\vec{u}+2\vec{u}+3\vec{v}-\vec{v}=4\vec{w}+\vec{w}⇔2u+2u+3v−v=4w+w
⇔4u⃗+2v⃗=5w⃗\Leftrightarrow4\vec{u}+2\vec{v}=5\vec{w}⇔4u+2v=5w