Problem

Let \(\vec{a} = 3\hat{i} - 4\hat{j} + 2\hat{k}\) and \(\vec{b} = -\hat{i} + 2\hat{j} - 3\hat{k}\). Find \(\vec{a} - \vec{b}\).

Solution

Step 1 :Step 1: Write down the vectors \(\vec{a}\) and \(\vec{b}\): \(\vec{a} = 3\hat{i} - 4\hat{j} + 2\hat{k}\) and \(\vec{b} = -\hat{i} + 2\hat{j} - 3\hat{k}\)

Step 2 :Step 2: Subtract \(\vec{b}\) from \(\vec{a}\) by subtracting the corresponding components of \(\vec{b}\) from \(\vec{a}\): \(\vec{a} - \vec{b} = (3 - (-1))\hat{i} + (-4 - 2)\hat{j} + (2 - (-3))\hat{k} = 4\hat{i} - 6\hat{j} + 5\hat{k}\)

From Solvely APP
Source: https://solvelyapp.com/problems/fjPnPxfZR5/

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