Practice Vector Intuition in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A mathematical object with both a magnitude (size) and a direction, often drawn as an arrow.
An arrow: how long it is (magnitude) and which way it points (direction).
Example 1
easyA displacement vector points 3 units east and 4 units north. What is the magnitude of this vector?
Example 2
mediumVectors \vec{u} = (2, 3) and \vec{v} = (-1, 4). Find \vec{u} + \vec{v} and interpret the result geometrically.
Example 3
easyWhat is the difference between a vector and a scalar? Give one example of each.
Example 4
hardFind the unit vector in the direction of \vec{w} = (3, -4).