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These are the component forms of vectors vec(p) and vec(q) : {:[ vec(p)=(2","-2)],[ vec(q)=(-3","-1)]:} Add the vectors. vec(p)+ vec(q)=(◻,◻)

These are the component forms of vectors p⃗ \vec{p} and q⃗ \vec{q} :\newlinep⃗=(2,−2)q⃗=(−3,−1) \begin{array}{l} \vec{p}=(2,-2) \\ \vec{q}=(-3,-1) \end{array} \newlineAdd the vectors.\newlinep⃗+q⃗=(□,□) \vec{p}+\vec{q}=(\square, \square)

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Q. These are the component forms of vectors p⃗ \vec{p} and q⃗ \vec{q} :\newlinep⃗=(2,−2)q⃗=(−3,−1) \begin{array}{l} \vec{p}=(2,-2) \\ \vec{q}=(-3,-1) \end{array} \newlineAdd the vectors.\newlinep⃗+q⃗=(□,□) \vec{p}+\vec{q}=(\square, \square)
  1. Vector Addition: To add two vectors, we add their corresponding components. The component form of vector addition is given by:\newlinep⃗+q⃗=(p1+q1,p2+q2)\vec{p} + \vec{q} = (p_1 + q_1, p_2 + q_2)\newlinewhere p1p_1 and p2p_2 are the components of p⃗\vec{p}, and q1q_1 and q2q_2 are the components of q⃗\vec{q}.
  2. Finding the Sum: Given p⃗=(2,−2)\vec{p} = (2, -2) and q⃗=(−3,−1)\vec{q} = (-3, -1), we can find the sum of the vectors by adding their corresponding components:\newlinep⃗+q⃗=(2+(−3),−2+(−1))\vec{p} + \vec{q} = (2 + (-3), -2 + (-1))
  3. Performing the Addition: Perform the addition for each component: p⃗+q⃗=(−1,−3)\vec{p} + \vec{q} = (-1, -3)

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