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Please help me answer these questions QUESTION 1 Equation of a line in 3D Space Choose one . 5 points Write the equation of a

Please help me answer these questions

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QUESTION 1 Equation of a line in 3D Space Choose one . 5 points Write the equation of a line passing through the point So-(2,4,3) and parallel to u=(1,3,5) O 0 = 2+t y =4+ 3tt ( R* 2 = 3+ 5t O 0 =2+t y = 4+ 3t, t > 0 2 = 3+ 5t O 1= 2+t y = 4+3t, 0 0 z = 5+t O I = 2+ 4t y =2- 3t 0 0 2=3+tV QUESTION 5 Identifying the Equation of a Line Segment in 3D Choose one . 5 points Identify the equation of a line-segment with origin So-(3,4,1) and direction =(1,2,1) O 1=3+t y =4+2t, tek 2=1+t O 1 =3+t y = 4+2t, 00 z=1+tQUESTION 6 Equation of a Line Segment in 3D Choose one . 5 points Write the equation of a line segment passing through So = (0, 0, 0) and parallel to the direction U = (1, 2, 4) D =t y = 2t, t>0 2 = 41 O y = 2t, tER* 2 = 41 y = 2t, 00 12: 0 z =2+3t z =1+9t O I = 5+2 D = 3+6t L1 : y = 3 + 5t, t20 L2 : 0 z = 2+ 3t z =1+9t O 0 = 5+t 0=3+1 I : 0 z = 2+ 3t 2 =1+9tQUESTION 8 Perpendicular Rays (Lines) Choose one . 5 points Identify the 2 perpendicular rays L1 and L2. O C = 5+t ( =3-t L1 : 0 z = 2+ 3t 2=1+t O I =5-2t 0=3-t I: 0 z = 2+ 3t 2=1+tQUESTION 9 Angle Between 2 Rays (Lines) Choose one . 5 points Calculate the angle between the two rays L1 and L2, where I = 5+t I =2-4t In : :y = 3 + 2t, t20 L2: y=3+t, t20 z =4+2t z =5+t O 90 Oo O 180 QUESTION 10 Plane normal vector and point on the Plane Choose one . 5 points Find the normal vector n of the plane : + 2y + z = 1, its constant d, and a point on the plane , PO O n = (1, 2, 1), d=0, po = (0, 0, 1) O n = (1, 2,1), d= -1, po = (0, 0, 1) O n = (2, 1, 1), d=1, po = (1, 1, 1)

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