Answer:
a) No, Two vectors with different magnitudes can never add up to zero.
b) Yes, Three or more vectors with different magnitudes can add up to zero.
Explanation:
a) No, Two vectors with different magnitudes can never add up to zero.
Given vector A and B
A = (x1,y1,z1) and B = (x2,y2,z2)
For A + B = 0
This conditions must be satisfied.
x1 + x2 = 0
y1 + y2 = 0
z1 + z2 = 0
Therefore, for those conditions to be meet the magnitude of A must be equal to that of B.
b) Yes, Three or more vectors with different magnitudes can add up to zero.
For example, three forces acting at equilibrium like supporting the weight of a person with two different ropes.
W = T1 + T2
Where;
W = Weight
T1 = tension of wire 1
T2 = tension of wire 2
Answer:
The magnitude of the resultant vector R is 50 meters ⇒ 2nd answer
Explanation:
<u><em>The resultant vector</em></u> is the vector sum of two or more vectors
If the two vectors perpendicular to each other, then the magnitude of
the resultant vector is the square root of the sum of their squares
If x and y are two vectors perpendicular to each other, then the
magnitude of its resultant vector R is:
→ 
Lets solve the problem
A right triangle with the base labeled 40 meters and the height labeled
30 meters
The hypotenuse is a dotted arrow labeled R
→ The base and the height of the right triangle are perpendicular
→ The hypotenuse is the resultant vector of them
Assume that x represents the base of the triangle and y represents the
height of it
By using the rule above
→ x = 40 m , y = 30 m
→ 
→ 
→ 
→ 
<em>The magnitude of the resultant vector R is 50 meters</em>
The energy of a single photon is given by

where

is the Planck constant
f is the frequency of the wave (of the photon)
In our problem, the radio wave has a frequency of

, so if we put this value into the previous formula, we can find the energy of a single photon of this electromagnetic wave:
Answer:
Consider the following calculations
Explanation:
a ) velocity of the glass is v = distance / time
= 5 X 10-3 / 7 X 365.24 X 24 X 60 X 60
v = 2.263 X 10-11 m/sec
the speed of the light in vaccum is C
C = 3 X 108 m/sec
n = C / v
n = 3 X 108 / 2.263 X 10-11
n = 1.32567 X 1019
b ) given is 40 km/hr
= 40 X 103 / 60 X 60
= 11.11 m/sec
n = C / v
n = 3 X 108 / 11.11
n = 27002700.27