Three vectors a- -b- -c- Satisfy the condition a- -b- -c- -0- Evaluate - -a- -b- -b- -c- -c- -a- if - a- -1- b- -4- c- -2-

Given: μ =a⃗ .b⃗ +b⃗ .c⃗ +c⃗ .a⃗ | a⃗ #160; | =1;| b⃗ #160; | =4;| c⃗ #160; | =2 Now, |a⃗+b⃗+c⃗|^2=|a⃗|^2+|b⃗|^2+|c⃗|^2+2(a⃗·b⃗+b⃗·c⃗+c⃗·a⃗) ...

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Scalar Triple Product

Three vectors...

Question

Three vectors $\to a, \to b, \to c$ . Satisfy the condition $\to a + \to b + \to c = 0$ . Evaluate $μ = \to a . \to b + \to b . \to c + \to c . \to a$ , if $| \to a | = 1; ∣ ∣ \to b ∣ ∣ = 4; | \to c | = 2$ .

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| \to a |, ∣ ∣ \to b ∣ ∣

| \to c |

\to a + \to b + \to c = 0

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| \to a | = 1, ∣ ∣ \to b ∣ ∣ = 4 a n d | \to c | = 2

[\to a \to b \to c] = 2

\frac{\to a . (\to b \times \to c)}{(\to c \times \to a) . \to b} + \frac{\to b . (\to c \times \to a)}{(\to a \times \to b) . \to c} + \frac{\to c . (\to a \times \to b)}{(\to b \times \to c) . \to a} =

[\begin{matrix} \to a & \to b & \to c \end{matrix}] = 1

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

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