If a-b-c- are three vectors such that -a- - 5-b- - 12 and -c- - 13 and a-b-c- - 0Find the value of a-b-b-c-c-a-

Given that: a⃗+b⃗+c⃗=0 and |a⃗|=5,|b⃗|=12,|c⃗|=13 Now, #160; |a⃗+b⃗+c⃗|^2=(a⃗+b⃗+c⃗).(a⃗+b⃗+c⃗) #160; #160; ∵ [|k⃗|^2=k⃗.k⃗] ⇒0= ...

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Fundamental Theorem In 3D

If a⃗,b⃗,c⃗...

Question

If $\to a, \to b, \to c$ are three vectors such that $| \to a | = 5, | \to b | = 12$ and $| \to c | = 13$ and $\to a + \to b + \to c = 0$
Find the value of $\to a . \to b + \to b . \to c + \to c . \to a$ .

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Solution

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