Question

Sketch vector v. Be sure to number your axes. Then find the magnitude of vector v. Show all work.

Answer 1

Step 1

Sketch the vector V.

$v=-2i\text{ +5j}$

Step 2

Find the magnitude of the vector. The magnitude of a vector is given as;

$\begin{gathered} |v|=\sqrt{(i)^2+(j)^2} \\ i=-2 \\ j=5 \\ \left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2} \end{gathered}$$\begin{gathered} |v|=\sqrt{(-2)^2+(5)^2} \\ |v|=\sqrt{4+25} \\ |v|=\sqrt{29} \end{gathered}$

Therefore, the magnitude is given as;

$|v|=\sqrt{29}$