vec(u)=(-7,2) Find the direction angle of vec(u). Enter your answer as an angle in degrees between 0^(@) and 360^(@) rounded to the nearest hundredth. theta=◻^(@)

Identify Components and Formula: Identify the components of vector u and the formula for the direction angle. Vector u has components (-7, 2). The direction angle θ of a vector (x, y) can be found using the arctangent function: θ = atan2(y, x).Calculate Direction Angle: Calculate the direction angle using the arctangent function with the given components. θ = atan2(2, -7). Using a calculator, we find that θ ≈ atan2(2, -7) ≈ 196.01 degrees.Check Angle Range: Check if the angle is within the specified range of 0 to 360 degrees. Since 196.01 degrees is within the range of 0 to 360 degrees, no further adjustments are needed.Round to Nearest Hundredth: Round the direction angle to the nearest hundredth. θ ≈ 196.01 degrees (rounded to the nearest hundredth).

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vec(u)=(-7,2)
Find the direction angle of vec(u). Enter your answer as an angle in degrees between 0^(@) and 360^(@) rounded to the nearest hundredth.
theta=◻^(@)

$\vec{u} = (-7, 2)$ $\newline$ Find the direction angle of $\vec{u}$ . Enter your answer as an angle in degrees between $0^{\circ}$ and $360^{\circ}$ rounded to the nearest hundredth. $\newline$ $\theta = \boxed{\phantom{000}}^{\circ}$

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Math Problems

Algebra 2

Find Coordinate on Unit Circle

Full solution

\vec{u} = (-7, 2)

\newline

Find the direction angle of

\vec{u}

. Enter your answer as an angle in degrees between

0^{\circ}

and

360^{\circ}

rounded to the nearest hundredth.

\newline

\theta = \boxed{\phantom{000}}^{\circ}

Identify Components and Formula: Identify the components of vector $u$ and the formula for the direction angle. $\newline$ Vector $u$ has components $(-7, 2)$ . The direction angle $\theta$ of a vector $(x, y)$ can be found using the arctangent function: $\theta = \text{atan2}(y, x)$ .
Calculate Direction Angle: Calculate the direction angle using the arctangent function with the given components. $\newline$ $\theta = \text{atan2}(2, -7)$ . $\newline$ Using a calculator, we find that $\theta \approx \text{atan2}(2, -7) \approx 196.01$ degrees.
Check Angle Range: Check if the angle is within the specified range of $0$ to $360$ degrees. $\newline$ Since $196.01$ degrees is within the range of $0$ to $360$ degrees, no further adjustments are needed.
Round to Nearest Hundredth: Round the direction angle to the nearest hundredth. $\newline$ $\theta \approx 196.01$ degrees (rounded to the nearest hundredth).