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# 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.

# Different Representations of Vectors

A two-dimensional vector's initial point is $$(3,-2)$$ and the vector has a magnitude of $$12.$$ This vector forms a $$45^{\circ}$$ angle with the $$+x$$ direction. What is the terminal point of the vector?

A woman moves $$4\text{ m}$$ east, $$1\text{ m}$$ south, and $$4\text{ m}$$ west. What is the direction of the displacement vector of the woman?

An object on a tabletop moves in a straight line, in a direction that forms a $$60^{\circ}$$ angle with a ruler. The position of the object read from the ruler was $$10\text{ cm}$$ when it started moving. The object then stops when its position read from the ruler is $$32\text{ cm}.$$ What is the displacement of the object?

A vector's initial point is $$(4,8)$$ and terminal point is $$(16,-8)$$ on the coordinate plane. Find the magnitude of the vector.

Tom walked $$21\text{ miles}$$ north, and then $$28\text{ miles}$$ east. How far is he from his original location?

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