Vector Addition Practice Problems Online

Two vectors $\vec{a}$ , $\vec{b}$ are shown in the diagram above. Which of the following is the same vector as $\vec{a}+ \vec{b}$ ?

Given the vectors

$\begin{aligned} \vec{a} &=(1, -4),\\ \vec{b} &=(2, 3),\\ \vec{p} &=-\vec{a}+3\vec{b},\\ \vec{q} &=2\vec{a}-5\vec{b}, \end{aligned}$

what is $2\vec{p}-4\vec{q}?$

What real values of $x$ and $y$ satisfy the equation $x(1,2)-y(2,3)=(5, 3)?$

Which of the following is the same vector as $\vec{c}$ in the regular hexagon below?

Details and assumptions

Two vectors $\vec{a}$ , $\vec{b}$ are shown in the diagram above. Which of the following is the same vector as $\vec{a}- \vec{b}$ ?

Vector Addition