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0. Review of College Algebra(0)

Rationalizing Denominators
(0)

Pythagorean Theorem & Basics of Triangles
(0)

Basics of Graphing
(0)

Functions
(0)

Transformations
(0)

Asymptotes
(0)

Solving Linear Equations
(0)

Solving Quadratic Equations
(0)

Complex Numbers
(0)

1. Measuring Angles(0)

Angles in Standard Position
(0)

Coterminal Angles
(0)

Complementary and Supplementary Angles
(0)

Radians
(0)

2. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
(0)

Special Right Triangles
(0)

Cofunctions of Complementary Angles
(0)

Solving Right Triangles
(0)

3. Unit Circle(0)

Defining the Unit Circle
(0)

Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
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4. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

Phase Shifts
(0)

Graphs of Secant and Cosecant Functions
(0)

Graphs of Tangent and Cotangent Functions
(0)

5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

6. Trigonometric Identities and More Equations(0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
(0)

Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

7. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
(0)

8. Vectors(0)

Geometric Vectors
(0)

Vectors in Component Form
(0)

Direction of a Vector
(0)

Unit Vectors and i & j Notation
(0)

Dot Product
(0)

Cross Product
(0)

9. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

10. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
(0)

Writing Parametric Equations
(0)

11. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
(0)

Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

8. Vectors

Geometric Vectors

8. Vectors

Geometric Vectors: 동영상 및 연습문제

비디오 강의 실무 워크시트

119 문제점

연습하고 싶은 문제 유형:

문제 1객관식

Given the following vector, v, obtain the unit vector (u) that aligns with the direction of v.

v = 13i

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문제 2객관식

Given the following vector, v, obtain the unit vector (u) that aligns with the direction of v.

v = 16 i - 12 j

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문제 3객관식

Given the following vector, v, obtain the unit vector (u) that aligns with the direction of v.

v = 11 i - 7 j

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문제 4객관식

For the vector with the following magnitude || v|| and angle Q (in degrees), express the vector v in terms of i and j.

||v|| = 26, Q = 60°

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문제 5객관식

Draw the following vector and consider the origin as its initial point. Then, calculate its magnitude.

v = 12i + 3j

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문제 6객관식

Draw the following vector and consider the origin as its initial point. Then, calculate its magnitude.

v = 2i - 8j

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문제 7객관식

Draw the following vector and consider the origin as its initial point. Then, calculate its magnitude.

v = -13i - 5j

문제 8객관식

Draw the following vector and consider the origin as its initial point. Then, calculate its magnitude.

v = -14i

문제 9객관식

A vector b starts at M and ends at N. Express the vector b in terms of i and j.

M = (-10, -3), N = (9, 4)

문제 10객관식

A vector b starts at M and ends at N. Express the vector b in terms of i and j.

M = (-12, 5), N = (-8, 1)

문제 11객관식

A vector b starts at M and ends at N. Express the vector b in terms of i and j.

M = (-3, 15), N = (-4, -4)

문제 12객관식

A vector b starts at M and ends at N. Express the vector b in terms of i and j.

M = (-10, 7), N = (14, 8)

문제 13객관식

For the given vectors a and b, find the magnitude of a and b.

Graph showing vectors a and b with coordinates and directions in a Cartesian plane.

문제 14객관식

For the given vectors a and b, find out if a = b where a and b have the same direction.

Graph showing vectors a and b with coordinates, questioning if they are equal.

문제 15객관식

For the given vector b, find the magnitude.

Graph showing vector b from (0,0) to (12,13) in a coordinate plane.

문제 16객관식

For the given vectors a and b, find the magnitude of a and b.

Graph showing vectors a and b with coordinates and their respective magnitudes.

문제 17객관식

For the given vectors a and b, find out if a = b where a and b have the same direction.

Graph showing vectors a (green) and b (red) with coordinates for comparison in trigonometry.

문제 18객관식

For the given vector b, find the magnitude.

Graph showing vector b from (-21, 10) to (-21, -20) in a coordinate plane.

문제 19객관식

Considering the vectors a = 11i - 4j and b = -8i + 6j, determine the following vector:

a + b

문제 20객관식

Considering the vectors a = 11i - 4j and b = -8i + 6j, determine the following vector:

a - b

문제 21객관식

Considering the vectors a = 11i - 4j and b = -8i + 6j, determine the following vector:

b - a

문제 22객관식

Considering the vector a = 11i - 4j, determine the following vector:

30a

문제 23객관식

Considering the vector c = -9i + 6j, determine the following vector:

-21c

문제 24객관식

Considering the vectors b = -12i - 8j and c = -9i + 6j, determine the following vector:

5c + 7b

문제 25객관식

Considering the vectors b = -12i - 8j and c = -9i + 6j , determine the following vector:

9b - 15c

문제 26객관식

Considering the vector a = 11i - 4j, determine the following scalar:

||5a||

문제 27객관식

Considering the vectors a = 11i - 4j and b = -8i + 6j, determine the following scalar:

||b - a||

문제 28객관식

Find 7a - (3b - 2c) using the following vectors:

a = -5i + 6j, b = 2i + 7j, c = 10i + 9j

문제 29객관식

Find ||a + b||² - ||a - b||²using the following vectors:

a = -5i + 6j, b = 2i + 7j

문제 30객관식

Find the magnitude and direction angle of the vector "a" given below. Express your answer to one decimal place.

a = -14i + 21j

Area of SAS & ASA Triangles 연습문제 Vectors in Component Form 연습문제

Geometric Vectors: 동영상 및 연습문제

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