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 4.1 What’s a Vector? 4.2 Vector Addition 4.3 Vector Subtraction 4.4 Multiplication by a Scalar 4.5 Vector Components

 4.6 Vector Multiplication 4.7 Key Formulas 4.8 Practice Questions 4.9 Explanations
Multiplication by a Scalar
Multiplication is like repeated addition. Multiplying 4 by 3 means adding four three times: . The multiplication of a vector times a scalar works in the same way. Multiplying the vector A by the positive scalar c is equivalent to adding together c copies of the vector A. Thus 3A = A + A + A. Multiplying a vector by a scalar will get you a vector with the same direction, but different magnitude, as the original.
The result of multiplying A by c is a vector in the same direction as A, with a magnitude of . If c is negative, then the direction of A is reversed by scalar multiplication.
 Jump to a New ChapterIntroduction to the SAT IIIntroduction to SAT II PhysicsStrategies for Taking SAT II PhysicsVectorsKinematicsDynamicsWork, Energy, and PowerSpecial Problems in MechanicsLinear MomentumRotational MotionCircular Motion and GravitationThermal PhysicsElectric Forces, Fields, and PotentialDC CircuitsMagnetismElectromagnetic InductionWavesOpticsModern PhysicsPhysics GlossaryPractice Tests Are Your Best Friends
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