Let's choose east as positive x-direction and south as positive y-direction. We can resolve the two displacement along these two axes:
- Displacement 1 (3.5 km,
south of west


- Displacement 2 (2.7 km,
east of south


So, the total components on the two directions are


And the magnitude of the hiker's resultant displacement is

Answer:
The magnitude of the magnetic force this particle experiences is
.
Explanation:
Given that,
Velocity v= (3i-5j+k) m/s
Magnetic field B=(i+2j-k) T
We need to calculate the value 

We need to calculate the magnitude of the magnetic force this particle experiences
Using formula of magnetic force

Put the value into the formula



Hence, The magnitude of the magnetic force this particle experiences is
.
Explanation:
Formula depicting relation between total flux and total charge Q is as follows.
(Gauss's Law)
Putting the given values into the above formula as follows.
Q =
= 
= 
= -8.4 nC
Therefore, when the unknown charge is q then,
-14.0 nC + 33.0 nC + q = -8.4 nC
q = -27.4 nC
Thus, we can conclude that charge on the third object is -27.4 nC.
Option B & Option D is your correct answers.
'cause here, atom has eight electrons in it's valence shell, so it means it has stable structure which falls in group 18
Hope this helps!