If a-b-c- b-c-a- then find value of -3a-4b-12c- if a- b- c- are vectors of same magnitude-

The correct option is A 13 According to given condition,All three vectors a⃗,b⃗, c⃗ are mutually perpendicular vectors with same magnitude=1So, ...

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Applications of Dot Product

If a⃗×b⃗=c⃗...

Question

If $\to a \times \to b = \to c, \to b \times \to c = \to a$ , then find value of $| 3 \to a + 4 \to b + 12 \to c |$ if $\to a, \to b, \to c$ are vectors of same magnitude.

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\to a, \to b, \to c

(\to a \times \to b) \times (\to a \times \to c) + (\to b \times \to c) \times (\to b \times \to a) + (\to c \times \to a) \times (\to c \times \to b)

\to a, \to b, \to c

2 \to a + \to b, \to a + 2 \to b + \to c, 4 \to a - 2 \to b - \to c

3 \to a + 4 \to b - 5 \to c

\to a, \to b, \to c

\to a \times \to b = \to c, \to b \times \to c = \to a, \to c \times \to a = \to b

| \to a | = | \to b | = | \to c |

\to a, \to b, \to c

| \to b | = | \to c |

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

\to A = \to b \times \to c, \to B = \to c \times \to a, \to C = \to a \times \to b

\to A \times (\to B \times \to C)

\to B \times (\to C \times \to A)

\to C \times (\to A \times \to B)

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