Practice Vectors in Physics
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Mathematical quantities that have both a magnitude (size) and a direction, represented as arrows in diagrams.
An arrow pointing somewhere with a certain length—the length is 'how much,' the direction is 'which way.'
Example 1
easyFind the magnitude and direction of the vector with components v_x = 3 and v_y = 4.
Example 2
mediumAdd the vectors: \vec{A} = 5 \text{ m} at 0° (east) and \vec{B} = 8 \text{ m} at 90° (north). Find the resultant.
Example 3
mediumA force of 50 \text{ N} acts at 60° above the horizontal. Find the horizontal and vertical components.
Example 4
mediumTwo forces act on an object: \vec{F}_1 = 8 \text{ N} east and \vec{F}_2 = 6 \text{ N} north. Find the magnitude and direction of the resultant force.