7 A and B are fixed points in the x-y plane. The position vectors of A and B are a and b respectively. State, with reference to points A and B, the geometrical significance of (a) the quantity |a – b]. (b) the vector (a+b). The circle Pis the set of points with position vector p in the x-y plane which satisfy (c) State, in terms of a and b, (i) the position vector of the centre of P, (ii) the radius of P. It is now given that a and p = (d) Find a cartesian equation of P.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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7
A and B are fixed points in the x-y plane. The position vectors of A and B are a and b respectively.
State, with reference to points A and B, the geometrical significance of
(a) the quantity la –bl.
(b) the vector (a+b).
The circle Pis the set of points with position vector p in the x-y plane which satisfy
(c) State, in terms of a and b,
(i) the position vector of the centre of P,
(ii) the radius of P.
It is now given that a =
| and p
(d) Find a cartesian equation of P.
Transcribed Image Text:7 A and B are fixed points in the x-y plane. The position vectors of A and B are a and b respectively. State, with reference to points A and B, the geometrical significance of (a) the quantity la –bl. (b) the vector (a+b). The circle Pis the set of points with position vector p in the x-y plane which satisfy (c) State, in terms of a and b, (i) the position vector of the centre of P, (ii) the radius of P. It is now given that a = | and p (d) Find a cartesian equation of P.
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