scalar multiplication component form 37 videos
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Addition and Scalar Multiplication of Vectors
Precalculus Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
vector components horizontal component vertical component component form vector addition the zero vector scalar multiplication -
Components of a Force
Precalculus Vectors and Parametric Equations
How to define the components of a vector.
forces components resultant vector addition perpendicular -
Vector Operations in 3D
Precalculus Vectors and Parametric Equations
How to perform vector operations like addition, scalar multiplication, the dot product, and finding the magnitude, in three dimensions.
vectors components vector addition scalar multiplication the dot product the scalar product magnitude length three dimensions -
Trigonometric Form of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to express a complex number in trigonometric form.
complex numbers the complex plane modulus argument sine cosine tangent rectangular form trigonometric form -
Converting Complex Numbers From Rectangular Form to Trigonometric
Precalculus Polar Coordinates and Complex Numbers
How to convert a complex number from rectangular form to trigonometric form.
complex numbers rectangular form trigonometric form modulus argument -
Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length -
The Dot Product of Vectors
Precalculus Vectors and Parametric Equations
How to compute the dot product of two vectors.
vector components component form dot product scalar product -
Probability of Multiple Events
Precalculus Topics in Discrete Math
How to find the probability of multiple events.
probability mutually exclusive inclusive overlap -
Solving a Logarithmic Equation with Multiple Logs
Precalculus Exponential and Logarithmic Functions
How to solve a logarithmic equation by condensing one, or both, sides.
log equation logarithmic equation logarithmic form exponential form condense -
Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
unit vectors length magnitude the unit vectors i and j vector addition scalar multiplication component form -
Solving a Logarithmic Equation
Precalculus Exponential and Logarithmic Functions
How to solve a logarithmic equation by putting it into exponential form.
log equation logarithmic equation logarithmic form exponential form -
Introduction to the 3D Coordinate System
Precalculus Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
axes coordinates position vector components magnitude length distance origin -
Multiplying Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to multiply two complex numbers in trigonometric form.
complex numbers trigonometric form modulus argument -
Dividing Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to divide two complex numbers in trigonometric form.
complex numbers trigonometric form modulus argument conjugate -
Solving Simple Logarithmic Equations
Precalculus Exponential and Logarithmic Functions
How to solve a logarithmic equation.
logarithmic form exponential form -
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula -
The Euler Formula
Precalculus Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from the exponential form to rectangular form.
complex numbers trigonometric form Euler formula e sine cosine modulus argument -
Probability of Independent Events
Precalculus Topics in Discrete Math
How to find the probability of independent events.
probability multiple events overlap -
Other Forms of the Cosine Double-Angle Formula
Precalculus Advanced Trigonometry
How to derive two more cosine double-angle formulas.
the Pythagorean identity the cosine double angle formulas -
The Vector Equation of a Line
Precalculus Vectors and Parametric Equations
How to write the vector equation of a line.
position vector direction vector vector addition scalar multiple vector equation line
