Given vectors (vec{a} = [3, -1, 2]) and (vec{b} = [2, 4, -1]), find the vector (vec{a} - vec{b}).

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Accepted Answer

Step:1 ：The subtraction of two vectors is done component-wise. This means that to subtract (vec{b}) from (vec{a}), we subtract the corresponding components of (vec{b}) from (vec{a}).Step:2 ：The first component of (vec{a} - vec{b}) is (3 - 2 = 1)Step:3 ：The second component of (vec{a} - vec{b}) is (-1 - 4 = -5)Step:4 ：The third component of (vec{a} - vec{b}) is (2 - (-1) = 3)

Answer

Step: 1 ：The subtraction of two vectors is done component-wise. This means that to subtract (vec{b}) from (vec{a}), we subtract the corresponding components of (vec{b}) from (vec{a}).Step: 2 ：The first component of (vec{a} - vec{b}) is (3 - 2 = 1)Step: 3 ：The second component of (vec{a} - vec{b}) is (-1 - 4 = -5)Step: 4 ：The third component of (vec{a} - vec{b}) is (2 - (-1) = 3)

Given vectors \(\vec{a} = [3, -1, 2]\) and \(\vec{b} = [2, 4, -1]\), find the vector \(\vec{a} - \vec{b}\).

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