Porisma

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Reflect an intersecting line by reflecting one point

Line l1l_1 passes through A=(−1,−2,1), B=(0,1,5). Line l2l_2 has equation x−1=(y−2)/2=z−3x-1=(y-2)/2=z-3. They intersect at A. Find:

(i) vector equations of l1,l2l_1,l_2; marks

(ii) their acute angle; marks

(iii) the position vector of the perpendicular foot F from B onto l2l_2; marks

(iv) the equation of the line l3l_3, the mirror image of l1l_1 in l2l_2. marks

[2012/CJC/Promo/10(a)]

CJC · Review problems · Question 7

One point of l1 already lies on the mirror axis, so reflect only its other point.

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