Answer:
τ = 0
Explanation:
At the moment it is defined
τ = F x r
In tete case they give us the strength and position in Cartesian form, so it is easier to solve the determinant
τ =
Let's apply this expression to the exercise
a) P = (-6 i ^ -3j ^ -6 k ^) m
F = (-6 i ^ -3j ^ -6k ^) 103 N
τ =
τ = i ^ (3 6 - 3 6) + j ^ (6 6 -6 6) + k ^ (6 3 - 3 6)
τ = 0
b) P = 24i ^ + 8j ^ + 9k ^
F = 24i + 8j + 9k
τ = i ^ (72-72) + j ^ (216-216) + k ^ (24 8 - 8 24)
τ = 0
c) P = -6i + 6j-4k
F = -6i + 6j-4k
τ = i ^ (24-24) + j ^ (- 24 + 24) + k ^ (-36 + 36)
τ = 0
.d) P = 24i-8j + 9k
Let's change the sign of strength
F = -24i + 8j-9k
Tae = (I j k 24 -8 9 -24 8 -9)
Tae = i ^ (72 -72) + j ^ (- 216 + 216) + k ^ (192-192)
Tae = 0
Answer:
The dimension is 
Explanation:
From the question we are told that

Here ![[J] = \frac{1}{L^2 T}](https://tex.z-dn.net/?f=%5BJ%5D%20%3D%20%5Cfrac%7B1%7D%7BL%5E2%20T%7D)
![[n] =\frac{1}{L^3}](https://tex.z-dn.net/?f=%5Bn%5D%20%3D%5Cfrac%7B1%7D%7BL%5E3%7D)
![[x] = L](https://tex.z-dn.net/?f=%5Bx%5D%20%3D%20L)
So
![\frac{1}{L^2 T} = -D \frac{d(\frac{1}{L^3})}{d[L]}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BL%5E2%20T%7D%20%3D%20%20-D%20%5Cfrac%7Bd%28%5Cfrac%7B1%7D%7BL%5E3%7D%29%7D%7Bd%5BL%5D%7D)
Given that the dimension represent the unites of n and x then the differential will not effect on them
So
=> 
=> 
Vertical:
(20 m/s) sin(25º) ≈ 8.45 m/s
Horizontal:
(20 m/s) cos(25º) ≈ 18.1 m/s
(a) 
The frequency of an electromagnetic wave is given by:

where
is the speed of the wave in a vacuum (speed of light)
is the wavelength
In this problem, we have laser light with wavelength
. Substituting into the formula, we find its frequency:

(b) 427.6 nm
The wavelength of an electromagnetic wave in a medium is given by:

where
is the original wavelength in a vacuum (approximately equal to that in air)
is the index of refraction of the medium
In this problem, we have

n = 1.48 (index of refraction of glass)
Substituting into the formula,

(c) 
The speed of an electromagnetic wave in a medium is

where c is the speed of light in a vacuum and n is the refractive index of the medium.
Since in this problem n=1.48, we find
