Math 309: Math Analysis Vectors and Functions - What is this thing? Match the objects on the left with one or more of the descriptions on the right. 1' \"11314) X(2=_113)| [\\3 '1 || [\\DIII-I- j k 3 4 13 3. (a X b)-c, where a = (1,3,4), b = (2, 1,3) and c: 5. a-h lallbl' where 3.: (1,3,4) and b : (2, 1,3) 5. (a-b) x c, where a : (1,3,4), b : (2, 1,3) and c: (3:277) 6. rs) = +t 7. r(t) = (1,3,4) + 1(2,1,3) 8. The intersection of the graphs of 2.1: 2y+ z = 9 and 11$+7y8z=9 9. The set of points satisfying mIQ = %1 = $43. 10. (1,3)-(.1:3,y2) =0 11. (1,3,4)-(a:3,y2,z7) :0 12. m+3y+4z= (3,2,7) 13. 3(1) : (2: + 1, t +3, 3t+ 4) _14- z = f o s, where aw) = ,/m2+y2 and gm = (2t+ 1, t+3,3t+4) 15- z = so f, where my) = W and 3(1) : (2t+ 1, t+3,3t+4) 16. z: x/r2+y2 17. z=$2+5 18. 5=z2+y2 19. 2:32+yz+w2 20. 22 = $2 +y2 a. b. This thing doesn't even make sense. A scalar A vector A scalar function A vector function A vector perpendicular to both (1, 3, 4) and (2, 1, 3) The area of a parallelogram whose edges are the vec tors (1,3, 4) and (2, 1,3) The volume of a parallelepiped, with edges 3., b and c The cosine of the angle between a and b . A line in the direction (1,3,4) A line through the points (1,3, 4) and (3, 2, 7) The line 3y + a: : 9, lying in the any-plane The line (3,2, 7) + t(1, 3, 4) lying in 3space. The plane in 3space containing the point (3, 2, 7) and perpendicular to (1,3, 4). . z : IR 1) R is a function whose graph is a curve lying in 2space. A function mapping 1&3 1) R A function mapping IR 1} R3 . z : R2 1) IR is a function of 2 variables, whose graph is a surface lying in 3space The graph of this is a surface lying in 3-space, but it is not a function. A circle, which is a contour line of the function ay) = $2 + 92