If -a-1-b-2- -c-3 and a-b-c-0- then the value of a-b-b-c-c-a- equals

The correct option is B 7 [ | a⃗ #160; | =1,| b⃗ #160; | =2,| c⃗ #160; | =3; ...

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Applications of Dot Product

If |a⃗|=1,|...

Question

If $| \to a | = 1, | \to b | = 2, | \to c | = 3$ and $\to a + \to b + \to c = 0$ , then the value of $\to a . \to b + \to b . \to c + \to c . \to a$ equals

0

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- 7

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- 5

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- \frac{14}{3}

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Solution

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Similar questions

[\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

\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}

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 $\to a . \to b + \to b . \to c + \to c . \to a$ .

\to a, \to b, \to c

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

μ = \to a . \to b + \to b . \to c + \to c . \to a

| \to a | = 1; ∣ ∣ \to b ∣ ∣ = 4; | \to c | = 2

\to a, \to b, \to c

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

\to a . \to b + \to b . \to c + \to c . \to a

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