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(a) With reference to the origin O, the points A and B have position vectors a and b respectively, and O, A and B are non-collinear. The point C, with position vector c, is the reflection of B in the line through O and A. Show that c can be written in the form c = a - b, where λ = A 2a.b a.a B

(a) With reference to the origin O, the points A and B have position vectors a and b respectively, and O, A and B are non-collinear. The point C, with position vector c, is the reflection of B in the line through O and A. Show that c can be written in the form c = a - b, where λ = A 2a.b a.a B

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(a) With reference to the origin O, the points A and B have position vectors a and b respectively, and O, A and B are non-collinear. The point C, with position vector c, is the reflection of B in the line through O and A. Show that c can be written in the form c = X a - b, where > C A 2a.b a.a B
Transcribed Image Text:(a) With reference to the origin O, the points A and B have position vectors a and b respectively, and O, A and B are non-collinear. The point C, with position vector c, is the reflection of B in the line through O and A. Show that c can be written in the form c = X a - b, where > C A 2a.b a.a B
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