×
Back to all chapters

# Vector Kinematics

If you're in an Airbus 320 cruising at 600 mph, with a 150 mph crosswind, chances are you won't have a strong WiFi signal. Learn vector kinematics now, before you fly.

# Total displacement of a set of displacement vectors

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.

Caitlyn is walking around the campus. She walks $$100 \text{ meters}$$ north, then $$300 \text{ meters}$$ east, and at last $$200 \text { meters}$$ north. Now, how far is she from her initial position?

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.

×