Question textConsider two lines (−1,1,−2)+s(2,1,−2)[math] and (1,2,−1)+t(0,1,−1)[math].a) A normal vector to both lines is (1,[math]Answer 1 Question 2[input], Answer 2 Question 2[input])[math].b) The vector from (1,2,−1)[math] to (−1,1,−2)[math] is ([math] Answer 3 Question 2[input], Answer 4 Question 2[input], Answer 5 Question 2[input] )[math].c) The distance between the two lines is Answer 6 Question 2[input].Multiple fill-in-the-blank

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Question textConsider two lines [math: (−1,1,−2)+s(2,1,−2)] and [math: (1,2,−1)+t(0,1,−1)].a) A normal vector to both lines is [math: (1,]Answer 1 Question 2[input], Answer 2 Question 2[input][math: )].b) The vector from [math: (1,2,−1)] to [math: (−1,1,−2)] is [math: (] Answer 3 Question 2[input], Answer 4 Question 2[input], Answer 5 Question 2[input] [math: )].c) The distance between the two lines is Answer 6 Question 2[input].

Question text 8Marks Consider the plane [math: (1,0,−1)+s(2,0,1)+t(0,3,3)](1,0,-1)+s(2,0,1)+t(0,3,3) and the point [math: (3,1,−2)](3,1,-2).a) A normal vector to this plane is [math: (1,]Answer 1[input], Answer 2[input][math: )].b) The vector from [math: (3,1,−2)](3,1,-2) to [math: (1,0,−1)] is [math: (] Answer 3[input], Answer 4[input], Answer 5[input] [math: )].c) The distance between the plane [math: (1,0,−1)+s(2,0,1)+t(0,3,3)] and the point [math: (3,1,−2)](3,1,-2) is Answer 6[input].Notes Report question issue Question 1 Notes

Let a,b∈R3 be fixed, distinct vectors, and let x:R→R3 be the function defined by x(t)=a+et(b−a). Which of the following is a geometric description of the curve parametrised by x? There is one correct answer. [Note: a line segment is a portion of a line with both a start and end point; a ray is a portion of a line with a start but no end point.]

Question 30 Choose a, b, c or d as the best answer. The author’s main argument is that the 100:80:100 model __________.

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