Question

Subtract vector a from vector b
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Answer 1

$a - b \\= (a _{x} - b_{x})i + (a _{y} - b_{y})j + (a _{z} - b_{z})z$

Explanation:

$Let, \: \: a = a_{x}i + a_{y}j + a_{z}k, \: \: and \: \: b = b_{x}i + b_{y}j + b_{z}k \\ A/Q, \: \: \: a - b = (a_{x}i + a_{y}j + a_{z}k) - (b_{x}i + b_{y}j + b_{z}k) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = a_{x}i + a_{y}j + a_{z}k- b_{x}i - b_{y}j - b_{z}k \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (a _{x} - b_{x})i + (a _{y} - b_{y})j + (a _{z} - b_{z})z$