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NDA Math Vector Algebra

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Consider the following for the next two (02) items that follow:
Let a⃗,b⃗\vec{a},\vec{b} and c⃗\vec{c} be three vectors such that a⃗++b⃗+c⃗=0\vec{a}++\vec{b}+\vec{c}=0 and ∣a⃗∣=10,∣b⃗∣=6|\vec{a}|=10,|\vec{b}|=6 and ∣c⃗∣=14|\vec{c}|=14
[NDA II 2016]
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