If a- b- and c- are unit vectors such that a- - 2b- - 2c- - 0- the -a-c- is equal to -

Let $\to a, \to b, \to c$ be three vectors such that $| \to a | = | \to c | = 1; | \to b | = 4$ and $| \to b \times \to c | = \sqrt{15}$ . If $\to b - 2 \to c = λ \to a$ then a value of $λ$ is

Q. If

\to a, \to b, \to c

are unit vectors such that

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

and

(\to a, \to b) = \frac{π}{3}

then

| \to a \times \to b | + | \to b \times \to c | + | \to c \times \to a | =

Q. If

\to a, \to b, \to c

are unit vectors such that

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

and

(\to a, \to b) = \frac{π}{3}

, then

∣ ∣ \to a \times \to b ∣ ∣ + ∣ ∣ \to b \times \to c ∣ ∣ + | \to c \times \to a | =

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If →a,→b, and →c are unit vectors such that →a+2→b+2→c=→0, the |→a×→c| is equal to :

The correct option is B √154→a+2→b+2→c=0→a+2→c=−2→b⇒(→a+2→c).→a+2→c=−2→b.(−2→b)→a.→a+4→c.→c=4→b.→b1+4+4→a.→c=4→a.→c=−14=→a.→c^c+→a×→c=→a|→a.→c|2+|→a×→c|2=1116+|→a×→c|2=1|→a×→c|2=1516|→a×→c|=√154

If $\to a, \to b$ , and $\to c$ are unit vectors such that $\to a + 2 \to b + 2 \to c = \to 0$ , the $| \to a \times \to c |$ is equal to :