Vector Kinematics

Concept Quizzes

Position Vectors
Different Representations of Vectors
Scalar multiplication of velocity vectors
Adding velocity vectors
Total displacement of a set of displacement vectors
Total displacement from velocity vectors
Problem solving with vector kinematics - beginners

Challenge Quizzes

Vector Kinematics: Level 2-3 Challenges
Vector Kinematics: Level 3-4 Challenges
Vector Kinematics: Level 4-5 Challenges

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?

(3+6\sqrt{2},-2-6\sqrt{2})

(3-6\sqrt{2},-2+6\sqrt{2})

(3-6\sqrt{2},-2-6\sqrt{2})

(3+6\sqrt{2},-2+6\sqrt{2})

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by Brilliant Staff

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?

S E W N

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by Brilliant Staff

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?