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These are the component forms of vectors vec(u) and vec(w) : {:[ vec(u)=(-4","-3)],[ vec(w)=(-1","5)]:} Add the vectors. vec(u)+ vec(w)=(◻,◻)

These are the component forms of vectors u⃗ \vec{u} and w⃗ \vec{w} :\newlineu⃗amp;=(−4,−3)w⃗amp;=(−1,5) \begin{aligned} \vec{u} & =(-4,-3) \\ \vec{w} & =(-1,5) \end{aligned} \newlineAdd the vectors.\newlineu⃗+w⃗=(□,□) \vec{u}+\vec{w}=(\square, \square)

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Q. These are the component forms of vectors u⃗ \vec{u} and w⃗ \vec{w} :\newlineu⃗=(−4,−3)w⃗=(−1,5) \begin{aligned} \vec{u} & =(-4,-3) \\ \vec{w} & =(-1,5) \end{aligned} \newlineAdd the vectors.\newlineu⃗+w⃗=(□,□) \vec{u}+\vec{w}=(\square, \square)
  1. Identify Components: Identify the components of each vector. u⃗\vec{u} has components (−4,−3)(-4, -3). w⃗\vec{w} has components (−1,5)(-1, 5).
  2. Add Component Values: Add the corresponding components of u⃗\vec{u} and w⃗\vec{w} to find the components of the resultant vector.\newlineThe x-component of the resultant vector is the sum of the x-components of u⃗\vec{u} and w⃗\vec{w}: −4+(−1)=−5-4 + (-1) = -5.\newlineThe y-component of the resultant vector is the sum of the y-components of u⃗\vec{u} and w⃗\vec{w}: −3+5=2-3 + 5 = 2.
  3. Write Resultant Vector: Write the resultant vector in component form. u⃗+w⃗=(−5,2)\vec{u} + \vec{w} = (-5, 2).

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