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Find the unit vector in the direction of vec(v)=(1,-2). ◻ ◻ ) Show Calculator

Find the unit vector in the direction of v⃗=(1,−2) \vec{v}=(1,-2) .\newline□ \square \newline□ \square )\newlineShow Calculator

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Find derivatives using the quotient rule IIright chevron icon

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Q. Find the unit vector in the direction of v⃗=(1,−2) \vec{v}=(1,-2) .\newline□ \square \newline□ \square )\newlineShow Calculator
  1. Find Magnitude: First, find the magnitude of v⃗\vec{v}. Magnitude = 12+(−2)2=1+4=5\sqrt{1^2 + (-2)^2} = \sqrt{1 + 4} = \sqrt{5}
  2. Divide Components: Next, divide each component of v⃗\vec{v} by the magnitude to get the unit vector. Unit vector = (15,−25)\left( \frac{1}{\sqrt{5}}, \frac{-2}{\sqrt{5}} \right)
  3. Simplify Components: Simplify the components if possible. Unit vector = (15,−25) \left( \frac{1}{\sqrt{5}}, \frac{-2}{\sqrt{5}} \right)

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