Let →a,→b and →c be unit vectors, such that →a+→b+→c=→x,→a⋅→x=1,→b⋅→x=32,|→x|=2. Then the angle between →x and →c is

Let →a,→b and →c be unit vectors, such that →a+→b+→c=→x,

1.	Let →a,→b and →c be unit vectors, such that →a+→b+→c=→x,→a⋅→x=1,→b⋅→x=32,\|→x\|=2. Then the angle between →x and →c is
Answer» Let $\to a, \to b$ and $\to c$ be unit vectors, such that $\to a + \to b + \to c = \to x, \to a \cdot \to x = 1, \to b \cdot \to x = \frac{3}{2}, \| \to x \| = 2.$ Then the angle between $\to x$ and $\to c$ is