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

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Accepted Answer

Step:1 ：First, we subtract the components of vector (vec{b}) from the components of vector (vec{a})Step:2 ：The (i) component of (vec{a} - vec{b}) is (3 - (-1) = 4)Step:3 ：The (j) component of (vec{a} - vec{b}) is (-2 - 2 = -4)Step:4 ：The (k) component of (vec{a} - vec{b}) is (1 - (-3) = 4)

Answer

Step: 1 ：First, we subtract the components of vector (vec{b}) from the components of vector (vec{a})Step: 2 ：The (i) component of (vec{a} - vec{b}) is (3 - (-1) = 4)Step: 3 ：The (j) component of (vec{a} - vec{b}) is (-2 - 2 = -4)Step: 4 ：The (k) component of (vec{a} - vec{b}) is (1 - (-3) = 4)

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

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