Given three unit vector a,b,c no two of which are collinear satisfying a×(b×c)=1/2b. The angle between a and b

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Q. Given three unit vector

a, b, c;

no two of which are collinear and satisfies

a \times (b \times c) = \frac{1}{2} b .

The angle between

a

and

b

is equal to

Q. Given three unit vectors

\to a, \to b, \to c

; no two of which collinear satisfying

\to a \times (\to b \times \to c) = \frac{1}{2} \to b

. The angle between

\to a

and

\to b

Q. Let a,b and c be three nonzero vectors, no two of which are collinear. If the vector a+2b is collinear with c, and b+3c is collinear with a, then a+2b+6c =

Q. Let

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

be three non-zero vectors, no two of which are collinear. lf the vector

¯ ¯ ¯ a + 2 ¯ ¯ b

is collinear with

¯ ¯ c

and

¯ ¯ b + 3 ¯ ¯ c

is collinear with

¯ ¯ ¯ a

, then

¯ ¯ ¯ a + ¯ ¯ b + 3 ¯ ¯ c =

If $\to a, \to b, \to c$ are three non-zero vectors, no two of which are collinear, $\to a + \to b$ is collinear with $\to c$ and $\to b + 3 \to c$ is collinear with $\to a$ , then $| \to a + 2 \to b + 6 \to c |$ will be equal to

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