Given the vectors (vec{a} = 3hat{i} - 2hat{j} + 4hat{k}) and (vec{b} = -hat{i} + 2hat{j} + 2hat{k}), find the result of the vector addition (vec{a} + vec{b}).

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Accepted Answer

Step:1 ：First, add the (i) components of the vectors: (3 - 1 = 2).Step:2 ：Then, add the (j) components of the vectors: (-2 + 2 = 0).Step:3 ：Finally, add the (k) components of the vectors: (4 + 2 = 6).

Answer

Step: 1 ：First, add the (i) components of the vectors: (3 - 1 = 2).Step: 2 ：Then, add the (j) components of the vectors: (-2 + 2 = 0).Step: 3 ：Finally, add the (k) components of the vectors: (4 + 2 = 6).

Given the vectors \(\vec{a} = 3\hat{i} - 2\hat{j} + 4\hat{k}\) and \(\vec{b} = -\hat{i} + 2\hat{j} + 2\hat{k}\), find the result of the vector addition \(\vec{a} + \vec{b}\).

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