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NDA Math Vector Algebra

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For the next two (02) items that follow:
Let
∣a→∣=7,∣b→∣=11,∣a→+b→∣=103\left|\overset{\rightarrow}{a}\right|=7,\left|\overset{\rightarrow}{b}\right|=11,\left|\overset{\rightarrow}{a}+\overset{\rightarrow}{b}\right|=10\sqrt{3}
[NDA I 2014]
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