For problems 1 & 2 give the equation of the line in vector form, parametric form and symmetric form. 1. The line through the points (2,-4,1) and (0,4,-10). 2. The line through the point (-7,2,4) and parallel to the line given by x = 5-8t, y=6+1, z = -12t 3. Is the line through the points (2,0,9) and (-4.1,-5) parallel, orthogonal or neither to the line given by F(t)=(5,1-91,-8-41)? For problems 4 & 5 determine the intersection point of the two lines or show that they do not intersect. 4. The line given by x = 8+1, y = 5+61, z=4-2t and the line given by F(t)= (-7+121,3-1,14 +8t). 5. The line passing through the points (1.-2,13) and (2,0,-5) and the line given by F(t)= (2+41,-1-1,3). 6. Does the line given by x=9+2lt, y=-7, z=12-11r intersect the xy-plane? If so, give the point. 7. Does the line given by x=9+2lt, y=-7, z=12-11t intersect the xz-plane? If so, give the point.