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

Therefore, the magnitude is given as;

`|v|=√(29)`