Find the angle between $u = 101$ and $v = 011$ .

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Given $a = 12 - 1$ and $b = 3 - 1 2$ , find…
The point P divides AB in the ratio $2 : 1$ , where $A (1, 2, 3)$ and $B (7, 5, 9)$ . Find P.
The points $A (1, 1, 1)$ , $B (3, 2, 0)$ and $C (7, 4, - 2)$ are given. What can be said about them?
Find the centre and radius of the circle $x^{2} + y^{2} - 6 x + 4 y - 12 = 0$ .
Find the equation of the circle with centre $(- 1, 4)$ passing through $(2, 0)$ .
The line $y = x + k$ is a tangent to the circle $x^{2} + y^{2} = 8$ . Find the possible values of $k$ .