A measurement that has magnitude and direction. The magnitude is equal to the absolute value of the vector measurement. For example, Velocity is a vector measurement. A velocity of -20 miles per 1 second would suggest moving away from the origin point in a two-dimensional measurement at a rate of 20 miles per 1 second. The absolute value of this would be 20 miles per 1 second, which would also be the speed. Therefore, speed is the magnitude of Velocity. Subsequently, any measurement that has a magnitude, but no direction, is not a Vector measurement, but rather a scalar measurement. Some examples of vector measurements would be Displacement, Velocity, and Acceleration.
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Vector
The measurement of 12 feet up is a scalar measurement. Scalars have magnitude but no direction. In this case, the magnitude is 12 feet, indicating the distance or height, but there is no direction specified.
when you add the measurement of two or more vectors together
A scalar has distance but no direction. A vector has distance and direction. "12 feet up" has distance (12 feet) and direction (up), so is a vector.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.