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Let $a, b$ and $c$ be three vectors such that $∣ a ∣ = 3, ∣ ∣ b ∣ ∣ = 4, ∣ c ∣ = 5$ and each one of them being perpendicular to the sum of the other two, find $∣ ∣ a + b + c ∣ ∣$ .

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William Discussed

Let

a, b

and

c

be three vectors such that

∣ a ∣ = 3, ∣ ∣ b ∣ ∣ = 4, ∣ c ∣ = 5

and each one of them being perpendicular to the sum of the other two, find

∣ ∣ a + b + c ∣ ∣

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Question Text

Let

a, b

and

c

be three vectors such that

∣ a ∣ = 3, ∣ ∣ b ∣ ∣ = 4, ∣ c ∣ = 5

and each one of them being perpendicular to the sum of the other two, find

∣ ∣ a + b + c ∣ ∣

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