vec(u)=(7,-4) 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=◻degree

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Calculate Tangent: To find the direction angle of the vector vec(u) = (7, -4), we need to calculate the angle θ that the vector makes with the positive x-axis. The direction angle can be found using the arctangent function (tan^(-1)), which gives us the angle whose tangent is the ratio of the y-coordinate to the x-coordinate of the vector.Use Arctangent Function: Calculate the tangent of the angle θ using the y-coordinate and the x-coordinate of vec(u): tan(θ) = (-4) / 7.Perform Calculation: Use the arctangent function to find the angle θ: θ = tan^(-1)(-4 / 7). Make sure to use a calculator set to degree mode for this calculation.Add 360 Degrees: Perform the calculation: θ = tan^(-1)(-4 / 7) ≈ -29.74°. This is the angle that vec(u) makes with the positive x-axis, measured counterclockwise. However, since the angle is negative, it is measured clockwise from the positive x-axis.Round Direction Angle: To find the direction angle between 0° and 360°, we add 360° to the negative angle: θ = -29.74° + 360° ≈ 330.26°.Round the direction angle to the nearest hundredth: θ ≈ 330.26°.

$\vec{u}=(7,-4)$ $\newline$ Find the direction angle of $\vec{u}$ . $\newline$ Enter your answer as an angle in degrees between $0^{\circ}$ and $360^{\circ}$ rounded to the nearest hundredth. $\newline$ $\theta= \square \degree$ $\newline$

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u⃗=(7,−4) \vec{u}=(7,-4) u=(7,−4)\newlineFind the direction angle of u⃗ \vec{u} u.\newlineEnter your answer as an angle in degrees between 0∘ 0^{\circ} 0∘ and 360∘ 360^{\circ} 360∘ rounded to the nearest hundredth.\newlineθ=□° \theta= \square \degree θ=□°\newline

$\vec{u}=(7,-4)$ $\newline$ Find the direction angle of $\vec{u}$ . $\newline$ Enter your answer as an angle in degrees between $0^{\circ}$ and $360^{\circ}$ rounded to the nearest hundredth. $\newline$ $\theta= \square \degree$ $\newline$