Question

Now find the components NxNxN_x and NyNyN_y of N⃗ N→N_vec in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector NNN and the angle θθtheta, with the components separated by a comma.

Answer 1

Answer:

$N_{y} =Ncos$Ф,

$N_{x} =-Nsin$ Ф

Explanation:

Now find the components NxNxN_x and NyNyN_y of N⃗ N→N_vec in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector NNN and the angle θθtheta, with the components separated by a comma.

Vectors are quantities that  have both magnitude and direction while scalar quantities have only magnitude but no direction.

This a vector quantity

from the diagram the horizontal component of the length of the vector will be

$N_{y} =Ncos$Ф

the vertical component will be

$N_{x} =-Nsin$ Ф

this is in the opposite direction because the x can be extrapolated to the negative axis

Answer 2

Answer:

The components of vector N along the x and y axis as represented in the given diagram are

Nx = -NSin(theta), Ny = NCos(theta)

N = magnitude or length of the vector_N.

Explanation:

The attachment below shows the same vector_N in its components representation. The positive x and y-axis have been given so the negative axes were labeled for emphasis sake. The x-component of the vector_N is negative because it is on the negative x-axis and the y-component is positive because it is on the positive y-axis. The x and y-components of vector_N can be found by the application of trigonometry to the right triangle formed by the components taking the vector_N as the hypotenuse.

Thank you for reading.