Angles and the Trigonometric Functions

Trigonometric Functions graphs, Inverse Trigonometric Functions

Trigonometric Identities and Equations

Laws of Sines, Cosines and Vectors

Complex Numbers, Polar Coordinates and Parametric Equations

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = 3i, w = -4i

In Exercises 1–8, use the given vectors to find v⋅w and v⋅v.

v = 5i - 4j, w = -2i - j

Vector Projections & Orthogonal Components

In Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree.

v = 2i - j, w = 3i + 4j

Projection of U onto V

Vector Projection Application - Rolling Cart

Finding Projection Vectors and Orthogonal Sums

Calculating Work with Vectors

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = 3i, w = -4j

Find the Dot Product of Two Vectors

The Dot Product

Dot Product & Angle Between Vectors

In Exercises 9–16, let
u = 2i - j, v = 3i + j, and w = i + 4j.

Find each specified scalar.
u ⋅ (v + w)

Weight of an Object in Equilibrium Given Tension

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = i + j, w = i - j

In Exercises 9–16, let
u = 2i - j, v = 3i + j, and w = i + 4j.

Find each specified scalar.
(4u) ⋅ v

In Exercises 1–8, use the given vectors to find v⋅w and v⋅v.

v = 5i, w = j

Writing a Vector F as the Sum of One Vector along v and One Vector Orthogonal to v

Resolving a Vector into Perpendicular Components

Dot Product: Find Angle Between Two Vectors, Another Example

Dot Product of Vectors From a Graph

Orthogonal Vectors

Calculating Work with Angles

Vector Math - Projection of u onto v

Finding the dot product of two vectors

In Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w.

v = 3i - 2j, w = i - j

In Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree.

v = -3i + 2j, w = 4i - j

In Exercises 1–8, use the given vectors to find v⋅w and v⋅v.

v = 3i + j, w = i + 3j

In Exercises 17–22, find the angle between v and w. Round to the nearest tenth of a degree.

v = 6i, w = 5i + 4j

In Exercises 1–8, use the given vectors to find v⋅w and v⋅v.

v = -6i - 5j, w = -10i - 8j

How to find the angle between two vectors and dot product

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = 2i - 2j, w = -i + j

In Exercises 23–32, use the dot product to determine whether v and w are orthogonal.

v = 2i + 8j, w = 4i - j

In Exercises 9–16, let
u = 2i - j, v = 3i + j, and w = i + 4j.

Find each specified scalar.
4(u ⋅ v)

How to Find the Projection of u Onto v and the Vector Component of u Orthogonal to v (2 dimensions)

Decomposing a Vector into Two Orthogonal Vectors (Vector Projection)

Learn how to determine if two vectors are parallel, orthogonal or neither

The Vector Dot Product

In Exercises 33–38, find projᵥᵥ v. Then decompose v into two vectors, v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w.

v = i + 2j, w = 3i + 6j

In Exercises 39–42, let
u = -i + j, v = 3i - 2j, and w = -5j.

Find each specified scalar or vector.
5u ⋅ (3v - 4w)

Orthogonal Projections - Scalar and Vector Projections

Orthogonal, parallel or neither (vectors)

Angle Between 2 Vectors (Formula)

Vector Applications: Force and Work

In Exercises 9–16, let
u = 2i - j, v = 3i + j, and w = i + 4j.

Find each specified scalar.
u ⋅ v + u ⋅ w

Dot product of two vectors

This course covers topics including trigonometric functions (with graphs and inverse functions), identities and equations, solutions of triangles, complex numbers and more.

College Trigonometry

https://static.studychannel.pearsonprd.tech/courses/trigonometry/thumbnails/trigonometry

#FFFFFF

Glenn Dyson

The Organic Chemistry Tutor

Mr. G's Mathematics

Mathispower4u

MrStewart

Mario's Math Tutoring

Krista King

Allan J Wager

turksvids

Brian McLogan

MATH OMG

Professor Dave Explains

 Firefly Lectures

The Math Sorcerer

rootmath

Spiffy Math

Brenda Edmonds

Study Force

ProfRobBob

patrickJMT

Use the Law of Sines to Solve Oblique Triangles

Use the Law of Sines to Solve, if Possible, the Triangle or Triangles in the Ambiguous Case

Find the Area of an Oblique Triangle Using the Sine Function

Solve Applied Problems Using the Law of Sines

The Law of Sines

Find the Angle Between Two Vectors

Use the Dot Product to Determine if Two Vectors Are Orthogonal

Find the Projection of a Vector onto Another Vector

Express a Vector as the Sum of Two Orthogonal Vectors

Compute Work

Use Magnitude and Direction to Show Vectors Are Equal

Visualize Scalar Multiplication, Vector Addition, and Vector Subtraction as Geometric Vectors

Represent Vectors in the Rectangular Coordinate System

Perform Operations with Vectors in Terms of i and j

Find the Unit Vector in the Direction of v

Write a Vector in Terms of Its Magnitude and Direction

Solve Applied Problems Involving Vectors

Vectors

Use the Law of Cosines to Solve Oblique Triangles

Solve Applied Problems Using the Law of Cosines

Use Heron's Formula to Find the Area of a Triangle

The Law of Cosines

General Chemistry

Jules

Classification of Matter (1)

Classification of Matter (2)

Classification of Matter - Example

Study the key concepts of Physics with descriptive videos, questions, and more

Physics

Patrick

Introduction to Units & the SI System

Metric Prefixes

Scientific Notation

General Biology

Jason

Introduction to Biology

Unicellular vs. Multicellular

Characteristics of Life

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

Bruce

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

College Algebra

Organic Chemistry

Johnny

Genetics

Kylia

GOB Chemistry

Dive deep into General, Organic, and Biological Chemistry with videos, practice problems, and more.

Intro to Chemistry

Microbiology

Cell Biology

Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors

Precalculus

Biochemistry

Macroeconomics

My Channels

College Channels

Skills Channels

Professional Channels

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities