14. Vectors

True or false: If $a ⃗=⟨3,2⟩$ and $b ⃗$ has initial point $(3,-1)$ & terminal point $(6,1)$, then $a ⃗=b ⃗$.

True or false: If $a ⃗=⟨3,-2⟩$ and $b ⃗$ has initial point $(-10,5)$ & terminal point $(-7,3)$, then $a ⃗=b ⃗$.

If vector $v ⃗=⟨-4,-10⟩$, calculate the magnitude $|v ⃗ |$.

If vector $v ⃗$ has initial point $(-1,2)$ and terminal point $(9,5)$, calculate the magnitude $|v ⃗ |$.

If vectors $v ⃗=⟨2,1⟩$, $u ⃗=⟨3,4⟩$, and $w ⃗=⟨-1,1⟩$, calculate $v ⃗+u ⃗-w ⃗$.

If vectors $v ⃗=⟨4,1⟩$, $u ⃗=⟨-8,3⟩$, and $w ⃗=⟨-2,-1⟩$, calculate $w ⃗-3(v ⃗+u ⃗)$.