2- 2- -2 -2+ 2 -2 (A) (B) y 2+ -2- -2- -2 -2 2 (C) (D) FIGURE 10 2. 2.

Which point has the gradient vector with the smallest magnitude? B

Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the line. l(t) =

You are on a rollercoaster, and the path of your body is modeled by a vector function r(t), where t is in seconds, the units of distance are in feet, and t = 0 represents the start of the ride. Assume the axes represent the standard cardinal directions and elevation (x is E/W, y is N/S, z is height). Explain what the following would represent physically, being as specific as possible. These are all common roller coaster shapes/behaviors and can be explained in specific language with regard to units: a. r(0)=r(120) b. For 0 ≤ t ≤ 30, N(t) = 0 c. r'(30) = 120 d. For 60 ≤ t ≤ 64, k(t) = 40 and z is constant. e. For 100 ≤ t ≤ 102, your B begins by pointing toward positive z, and does one full rotation in the normal (NB) plane while your T remains constant.

explain steps please

2.3(4)   Determines the vector equation of the line of intersection of the plan: (shown in the image)