Vector Kinematics
A boy walks \(8 \text{ km} \) west, then \( 3 \text{ km} \) south, and then \( 3 \text{ km} \) east. Determine his net displacement.
Let \( +\hat{i} \) be the unit vector for east, and \( +\hat{j}\) be that for north.
Two helicopters take off from the same landing area. One helicopter proceeds \( 8\sqrt{2} \text{ km} \) due southwest. The second flies \( 4 \text{ km} \) east. Determine the final position of the second helicopter with respect to the first.
\( A \) is the vector sum of the two vectors: \( (5 \hat{i} - 3 \hat{j} + 2 \hat{k} ) \) and \( ( \hat{i} + 5 \hat{j} +6 \hat{k} ). \) What is vector \( A \) in unit vector notation?
A girl walks \(600 \text{ m} \) east, then \( 1 \text{ km} \) south, and then \( 5 \text{ km} \) east. Find her total displacement.
\( +\hat{i} \) is the unit vector for east, and \( +\hat{j}\) is that for north.