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Bytelearn - cat image with glassesAI tutor

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Let’s check out your problem:

vec(u)=(-10,7) 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= ◻

u⃗=(−10,7) \vec{u}=(-10,7) \newlineFind the direction angle of u⃗ \vec{u} .\newlineEnter your answer as an angle in degrees between 0∘ 0^{\circ} and 360∘ 360^{\circ} rounded to the nearest hundredth.\newlineθ= \theta= \newline□ \square

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Full solution

Q. u⃗=(−10,7) \vec{u}=(-10,7) \newlineFind the direction angle of u⃗ \vec{u} .\newlineEnter your answer as an angle in degrees between 0∘ 0^{\circ} and 360∘ 360^{\circ} rounded to the nearest hundredth.\newlineθ= \theta= \newline□ \square
  1. Calculate direction angle: Calculate the arctangent of the yy-component divided by the xx-component to find the direction angle.
  2. Find θ\theta in radians: Use a calculator to find the value of θ\theta in radians.
  3. Convert to degrees: Convert the angle from radians to degrees.
  4. Adjust for quadrant: Since the vector is in the second quadrant, add 180180 degrees to get an angle between 00 and 360360 degrees.

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