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

Which of the following represents this vector in trig form? Thank you!-example-1
User Pivot
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1 Answer

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SOLUTION

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:

Which of the following represents this vector in trig form? Thank you!-example-1
Which of the following represents this vector in trig form? Thank you!-example-2
User Tangie
by
8.3k points

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