Given $a = 12 - 1$ and $b = 3 - 1 2$ , find $a \cdot b$ .

Practise more Vectors, Circles, Lines and Recurrence Relations.

Free questions with an explanation for every one, and full timed Scottish Highers mock tests.

All Vectors, Circles, Lines and Recurrence Relations questions Take a mock test

More Vectors, Circles, Lines and Recurrence Relations questions

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