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Unformatted text preview: → AB  is regarded as the base of Δ, the corresponding altitude would be d . Therefore 1 2 → AP ×→ AB  = 1 2 d → AB  or d = → AP ×→ AB  → AB  . 6. The line we want passes through (0 , , 0) and it is along the same direction as the given line, that is, along (2 , 1 , 0). Therefore, a point ( x, y, z ) lies on the line we want if x = 2 t , y = t , z = 0 7. Suppose that xx a = yy b = zz c . 1 Let t = ( xx ) /a and we have x = x + at , y = y + bt and z = z + tc . Hence ( x, y, z ) lies on L . Conversely, if ( x, y, z ) lies on L , x = x + at, y = y + bt, z = z + tc for some number t . Therefore t = xx a = yy b = zz c . 2...
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This note was uploaded on 12/25/2011 for the course MATH 101 taught by Professor Ching during the Spring '11 term at HKU.
 Spring '11
 ching
 Math, Calculus

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