the magnitude and direction of this vector is cos −1√ (−5/ 89)
Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.
A constant quantity's magnitude is a numerical value for the quantity expressed in terms of a unit of measurement. For instance, the real number 2000 is the magnitude of the quantity 2 kilometers in the unit-of-measure meter.
Magnitude = (25) 2 + (40) 2 =5√89
Angle with the x-axis equals tan√ 1(y/x).
=tan −1 √ (40/−25)
=tan −1√ (−8/5)
=cos −1√ (−5/ 5 √2+6/2)
=cos −1√ (−5/ 89)
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