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Answer:
The magnitude of the given vector is 
Explanation:
For any given vector 
The magnitude is given by

comparing with the given vector 
we get
x = 1, y = -2, z = 3
Thus the magnitude of vector A is

Answer:
Distance, d is 86.1 meters.
Explanation:
Given the following data;
Time, t = 6.15secs
Velocity = 14m/s
Velocity can be defined as the rate of change in displacement (distance) with time. Velocity is a vector quantity and as such it has both magnitude and direction.
Mathematically, velocity is given by the equation;



Substituting into the above equation;

d = 86.1m
Hence, the distance traveled by the boat is 86.1 meters.
Answer
given,
Power output of loud train = 100 W
Distance of intensity level from train= 100 m
I₀ = 10⁻¹² W/m²
Intensity of sound = ?
we know,

Intensity level
= 
= 
= 
= 89 dB
Explanation: Mass is Kilogram
Weight is Newton