U3TAK_-_Unit_3_Test_Answer_Key - OPR ANO N PROM O S � 1...

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OPR ANO N PROM O S · 1 . Which point listed below is on the line defined by r = ( 2 , - 4 , 3 ) + t ( 1 , 2 , -1), te ، مد رد + 1- 2 2-4+2 6 A(4,0,-1), B (6,4,-1) or C(5,-2,0). 11:2+ A : y=-4.42€ 4 =2++ 0=-4+ 2 t 6 = 27 6 /45 -4+2 5 t=2 lt=2 6 54 1 6 :4 Z= 3-4 TE 3- 4 -1 =3-6 1 t=4 2. Find the vector equation for the line x = 3 t, y=1–2 t, z= -2, te R. t -3 023-6 t:3 - :-2X +€ L G N .; 3 . Find the parametric equation of a line that passes through the points (3,0,-2) and (5, -7,-5). + - 76
7 =(3,0;2)+ (-2 ,7,3) ter i 4. A line goes through the points (-8, 2) and (4, -3). Determine its vector equation. .( -8 , 2) + t i -12 . s) = 68,2) - (4,- 3) =(- 1 2,5) 7 =68,2) + +(-1 2 ,5) HE I R ( 11) 5. Given -1 ,t e R, determine: 12'3 - a. a direction vector for this line with integral components: 12 ( -3. 2 ) b. a point on the line with integral components 61 , §) . Let t=3 Le t t=3 7 ,-5). 36, 3 ). - ,-5)+ ) z (-3,2) . 6 . A parametric equation of the line y = -3x + 9 in R2 is : x = , t 9 - 3€ M = ( - 3 ) P = 1 0 , 9 )
= ( 0 , 9 ) + €11 , - 3 ) H E R E

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