Given the vector ü = (2, – 5), find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0 < 0 < 27)

Given vector u = (-1,–5) and v = (-2, –1) , determine the value of 5v u in - component form.

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.

I need you to answer the top question where it says: The vector u = (3180, 2450) gives the numbers of hamburgers and hot dogs, respectively, sold at a fast-food stand in one month. The vector v = (2.25, 1.75) gives the prices (in dollars) of the food items. Find the dot product u v. I have already answered the multiple choice questions, so please dont answer that. thank you