Given vectors (vec{A} = 3hat{i} + 2hat{j} - 4hat{k}) and (vec{B} = -2hat{i} + 3hat{j} + 5hat{k}), find the vector (vec{A} - vec{B}).

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Accepted Answer

Step:1 ：The subtraction of two vectors is done component-wise. Thus, the difference (vec{A} - vec{B}) can be calculated as follows:Step:2 ：(vec{A} - vec{B} = (3hat{i} + 2hat{j} - 4hat{k}) - (-2hat{i} + 3hat{j} + 5hat{k}))Step:3 ：= (3 - (-2))hat{i} + (2 - 3)hat{j} + (-4 - 5)hat{k}Step:4 ：= 5hat{i} - hat{j} - 9hat{k}

Answer

Step: 1 ：The subtraction of two vectors is done component-wise. Thus, the difference (vec{A} - vec{B}) can be calculated as follows:Step: 2 ：(vec{A} - vec{B} = (3hat{i} + 2hat{j} - 4hat{k}) - (-2hat{i} + 3hat{j} + 5hat{k}))Step: 3 ：= (3 - (-2))hat{i} + (2 - 3)hat{j} + (-4 - 5)hat{k}Step: 4 ：= 5hat{i} - hat{j} - 9hat{k}

Given vectors \(\vec{A} = 3\hat{i} + 2\hat{j} - 4\hat{k}\) and \(\vec{B} = -2\hat{i} + 3\hat{j} + 5\hat{k}\), find the vector \(\vec{A} - \vec{B}\).

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