SI units, measurements and physical quantities GapFill

In any experiment, there will be errors in the final result.
Errors which have an effect of different magnitudes and in different directions for each result around the mean are  random errorsabsolute errorssystematic errorspercentage errors. This can be due to the changing conditions in the laboratory, or from human error.
Errors which have effects which are always the same magnitude and in the same direction are  random errorssystematic errorspercentage errorsabsolute errors. This can be due to a problem with the equipment, or not calibrating the equipment correctly. A calibration error is also known as a  systematic errorabsolute errorzero errorpercentage error.
A data set that is all very close to a single value is said to have high  accuracyprecisionresolutionuncertainty.
A data set that has a mean close to the expected or 'true' value of the experiment is said to have high  resolutionprecisionaccuracyuncertainty.
An experiment that produces similar results each time it is performed by the same researcher using the same equipment is said to have high  uncertaintyrepeatabilityresolutionreproducibility.
An experiment that produces the same results when repeated using different equipment and/or researchers is said to have high  repeatabilityreproducibilityresolutionuncertainty.
A piece of equipment that allows a reading to be taken within a small range of uncertainty is said to have a high  precisionresolutionaccuracyuncertainty.
All quantities can be described as either scalars or vectors. Scalars are quantities with  magnitude and directionmagnitude but no directionmagnitude and sizeno units, while vectors are quantities with  magnitude and directionmagnitude and sizeunitsmagnitude but no direction.
Vectors can be resolved in components. To find the size of the vertical component of a vector, the equation  v × cos(θ)θ × sin(v)v × sin(θ)θ × cos(v) can be used, and to find the horizontal component, the equation  v × sin(θ)θ × cos(v)v × cos(θ)θ × sin(v) can be used, where θ is the angle between the horizontal and the vector and v is the size of the vector.
To find the size and angle of a vector from its components, use  v(x) × v(y)√(v(x) + v(y))v(x) ÷ v(y)√(v(x)² + v(y)²) to find its size, and  θ = cos(v(y)) + sin(v(x))tan(θ) = v(y) ÷ v(x)√(v(x)² + v(y)²)tan(θ) = v(y) × v(x) to find its angle.