Chapter 11.2, Problem 27E

The vector describing a particular particle is given by T(t) = Rcos (wt)î + Rsin (wt) ĵ, where R and w are constants. (a) What is the magnitude of the position, |7|? What is its unit vector, f? (b) What is the velocity, ī, of this particle? What is it's magnitude, |0|? What is its unit vector, î? (c) What is the acceleration, a, of this particle? What is it's magnitude, Jā|? What is its unit vector, â? (d) Show that the acceleration points opposite to the position, ř° (i.e., â x -î), and determine the proportionality constant. |

Please solve this

How to solve this question

How do you know what the vector b is?

Please help me find the position vector !

How do you find the velocity and acceleration vectors at t=-1?

Let f(x, y) = x64. Round the components of your answers to three decimal places. (a) At the point ( – 2, 1), find a unit vector in the direction of maximum rate of change. 7 i + i i (b) At the point ( – 2, 1), find a unit vector in the direction of minimum rate of change. 7 + i

the position vector r describes the path of an object moving in space. (a) Find the velocity vector, speed, and acceleration vector of the object. (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. r(t) = ⟨t, −tan t, e^t⟩ t = 0

< Siven the vectors ü = - i - 2j + 3k and = - 2i + 6j – 3k. _17. The unit vector in .he direction of v is (a) i + - k. (b)}i –j -k. (4) -ži +1 -K. _18. ü v is equal to (a) 14. (b) 19. (c) –14. (d) –19. _19. ü xv is equal to (a) – 121 – 9/ – 2k. (b) 12i + 9j + 2k. (c) 2i – 12j – 9k. (d) None of these. _20. The value of h such that ü – hö is orthogonal to ï is (b) – 14 (a) (c) 14. (d) None of these.