- #1
amy098yay
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Homework Statement
Verify using an example that a(b+c) is not equal to ab+ac. (This means that addition does not distribute over the dot product.)
Homework Equations
a(b+c)= ab+ac is ALWAYS true for whatever numbers you substitute
let a = 16
b = 3
and c = 5
The Attempt at a Solution
so LHE = a/(a + b) = 16 / (3 + 5) = 16/8 = 2
and RHE = (a/b) + (a/c) = (16/3) + (16/5) ≠ 2
so a/(a + b) ≠ (a/b) + (a/c)
LHE = a + (bc) = 16 + 3 x 5 = 16 + 15 = 31
RHE = (a + b)(a + c) = (16 + 3)(16 + 5) = 19 x 21 ≠ 31
so a + (bc) ≠ (a + b)(a + c)
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