Question

Which of the following represents this vector in trig form? Thank you!

Answer 1

Step-by-step explanation:

To represent vector in trigonometric form; first of obtain the magnitude and direction of the vector.

`W=(-21,\text{ -20})`

`\begin{gathered} The\text{ magnitude of W is;} \\ √((-21)^2+(-20)^2)=29 \end{gathered}`
`\begin{gathered} The\text{ direction }\theta,\text{ is;} \\ tan\theta=(w_y)/(w_x) \\ tan\theta=(-20)/(-21) \\ \theta=tan^(-1)((20)/(21)) \\ The\text{ direction =180+}43.6=223.6\degree \end{gathered}`
`The\text{ trigonometric form is:}`
`W=29(cos223.603i,\text{ sin223.603j})`

Final answer: