phy2048 lecture04

# phy2048 lecture04 - Chapter 3 Vectors 31 What is Physics 32...

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Unformatted text preview: Chapter 3: Vectors 31 What is Physics 32 Vectors and Scalars 33 Adding Vectors Geometrically 34 Components of Vectors 35 Unit Vectors 36 Adding Vectors by Components 37 Vectors and the Laws of Physics 38 Multiplying Vectors Chapter 3 Homework 1~4, 15, 17, 29, 34, 38, 50, 59, 61 Vector Scalar magnitude (+/) Mass, Time, Temperature, Pressure, Energy... magnitude Vector { Vector: A direction Magnitude: A or A Displacement, Velocity, Acceleration, Force... Adding Vectors Geometrically C = A+ B Head-to-tail Method Parallelogram Method A+ B = B + A ( A + B) + C = A + ( B + C ) Multiplying a Vector by a Scalar B = sA B= sA B is parallel to A if s > 0 B is antiparallel to A if s < 0 -A Subtraction of Vectors C = A- B C = A+ - B ( ) A = B+C Components of Vectors A= 2 2 Ax + Ay -1 = tan Ay Ax A= 2 2 2 Ax + Ay + Az Adding Vectors Mathematically C = A+ B C x = Ax + B x C y = Ay + B y C z = Az + B z Unit Vectors Unit vector is a dimensionless vector with unit magnitude. ^= A = A A A A ^ A =1 ^ A // A ^ ^ A + B = ( Ax + Bx )i + ( Ay + B y ) ^ + ( Az + Bz )k j The Dot Product A B = AB cos Scalar Properties of Dot Products A B = Ax B x + Ay B y + Az B z ...
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phy2048 lecture04 - Chapter 3 Vectors 31 What is Physics 32...

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