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Standard Basis Vectors
The vector that is, i = (1, 0,0) is called a standard basis vector. In three dimensional (3D) space there are three standard basis vectors,
i→ = (1, 0, 0)
j→ = (0,1, 0)
k→ = (0, 0,1)
In two dimensional spaces (2D) there are two standard basis vectors,
i→ = (1, 0)
j→ = (0,1)
Notice that standard basis vectors are as well unit vectors.
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Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
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