Three vectors - a- - b- and - c- satisfy the condition a- - b- - c- -0-Evaluate the quantity - -a- -b- -b- -c- -c- -a- if - a- -1- b- -4and - c- -2-

The correct option is C 212 [ a⃗ +b⃗ +c⃗ =0; ...

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Test for Collinearity of Vectors

Three vectors...

Question

Three vectors $| \to a |, ∣ ∣ \to b ∣ ∣$ and $| \to c |$ satisfy the condition $\to a + \to b + \to c = 0$ .
Evaluate the quantity $λ = \to a . \to b + \to b . \to c + \to c . \to a$ , if $| \to a | = 1, ∣ ∣ \to b ∣ ∣ = 4 a n d | \to c | = 2$ .

\frac{21}{2}

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- \frac{21}{2}

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- \frac{17}{2}

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\frac{17}{2}

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Similar questions

\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] = 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} =

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

[\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}

\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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