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Boundless Physics
Two-Dimensional Kinematics
Physics Textbooks Boundless Physics Two-Dimensional Kinematics
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Section 2

Vectors

Book Version 3
By Boundless
Boundless Physics
Physics
by Boundless
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7 concepts
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Components of a Vector

Vectors are geometric representations of magnitude and direction and can be expressed as arrows in two or three dimensions.

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Scalars vs. Vectors

Scalars are physical quantities represented by a single number, and vectors are represented by both a number and a direction.

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Adding and Subtracting Vectors Graphically

Vectors may be added or subtracted graphically by laying them end to end on a set of axes.

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Adding and Subtracting Vectors Using Components

It is often simpler to add or subtract vectors by using their components.

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Multiplying Vectors by a Scalar

Multiplying a vector by a scalar changes the magnitude of the vector but not the direction.

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Unit Vectors and Multiplication by a Scalar

Multiplying a vector by a scalar is the same as multiplying its magnitude by a number.

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Position, Displacement, Velocity, and Acceleration as Vectors

Position, displacement, velocity, and acceleration can all be shown vectors since they are defined in terms of a magnitude and a direction.

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