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0. Review of College Algebra(0)

Rationalizing Denominators
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Pythagorean Theorem & Basics of Triangles
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Basics of Graphing
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Functions
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Transformations
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Asymptotes
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Solving Linear Equations
(0)

Solving Quadratic Equations
(0)

Complex Numbers
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1. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
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Complementary and Supplementary Angles
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Radians
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2. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
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Special Right Triangles
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Cofunctions of Complementary Angles
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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
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Reference Angles
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Reciprocal Trigonometric Functions on the Unit Circle
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4. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
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Phase Shifts
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Graphs of Secant and Cosecant Functions
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Graphs of Tangent and Cotangent Functions
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5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
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Linear Trigonometric Equations
(0)

6. Trigonometric Identities and More Equations(0)

Introduction to Trigonometric Identities
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Sum and Difference Identities
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Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
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7. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
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Area of SAS & ASA Triangles
(0)

8. Vectors(0)

Geometric Vectors
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Vectors in Component Form
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Direction of a Vector
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Unit Vectors and i & j Notation
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Dot Product
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Cross Product
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9. Polar Equations(0)

Polar Coordinate System
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Convert Points Between Polar and Rectangular Coordinates
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Convert Equations Between Polar and Rectangular Forms
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Graphing Other Common Polar Equations
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10. Parametric Equations(0)

Graphing Parametric Equations
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Eliminate the Parameter
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Writing Parametric Equations
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11. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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8. Vectors

Vectors in Component Form

8. Vectors

Vectors in Component Form : 동영상 및 연습문제

비디오 강의 실무 워크시트

30 문제점

연습하고 싶은 문제 유형:

문제 1객관식

A vector $a$ starts at $P_1$ and ends at $P_2$ . Express the vector $a$ in terms of $i$ and $j$ .

$P_1=(-3,4)$ , $P_2=(5,-2)$

views

문제 2객관식

A vector $a$ starts at $P_1$ and ends at $P_2$ . Express the vector $a$ in terms of $i$ and $j$ .

$P_1=(-21,-28)$ , $P_2=(0,-8)$

views

문제 3객관식

A vector $a$ starts at $P_1$ and ends at $P_2$ . Express the vector $a$ in terms of $i$ and $j$ .

$P_1=(-31,44)$ , $P_2=(35,-28)$

views

문제 4객관식

A vector $u$ has a magnitude of $12$ and makes an angle of $60 raised to the composed with power$ with the positive $x$ -axis. Write the vector $u$ in terms of $i$ and $j$ .

문제 5객관식

A vector $u$ has a magnitude of $20$ and makes an angle of $315 raised to the composed with power$ with the positive $x$ -axis. Write the vector $u$ in terms of $i$ and $j$ .

views

문제 6객관식

Which of the following best describes a position vector?

문제 7객관식

Given a vector with initial point (2, 3) and terminal point (5, 7), what is the component form of the vector?

문제 8객관식

What is the magnitude of the vector (3, 4)?

문제 9객관식

If vector A is (1, 2) and vector B is (3, 4), what is the result of subtracting vector B from vector A?

문제 10객관식

If vector C is (2, 3) and is multiplied by a scalar 4, what is the resulting vector?

문제 11객관식

A plane travels 100 km east and then 50 km north. What is the magnitude of the resultant displacement vector?

문제 12객관식

A boat must travel directly across a river that flows at 3 m/s. If the boat can travel at 4 m/s in still water, at what angle should the boat be aimed to reach directly across?

문제 13객관식

Given initial point (0, 0) and terminal point (6, 8), what is the vector in component form?

문제 14객관식

Which method adds vectors by placing the tail of one vector at the head of another?

문제 15객관식

A force of 10 N at 30 degrees is acting on an object together with a force of 20 N at 150 degrees. What is the magnitude of the resultant force?

문제 16객관식

What is the magnitude of vector (-6, 8)?

문제 17객관식

If vector D = (4, -2) and vector E = (-1, 5), what is the result of adding vector D and vector E?

문제 18객관식

How would vector F with initial point (1, -2) and terminal point (4, 3) be expressed in component form?

문제 19객관식

A car travels 100 km west and then 100 km south. What is the direction of the resultant vector relative to the west direction?

문제 20객관식

What will be the result of multiplying vector G = (7, -3) by a scalar of 2?

문제 21간단한 답변

Find the x-component of the vector from $A = (- 4, 7)$ to $B = (5, - 2)$ .

문제 22간단한 답변

A vector is translated so that its initial point is at the origin and its terminal point is $open paren negative 6 comma 8 close paren$ . Find the magnitude of the vector.

문제 23간단한 답변

Find the magnitude of the vector from $open paren 2 comma negative 3 close paren$ to $open paren negative 4 comma 5 close paren$ .

문제 24간단한 답변

Let $v = [7, - 4]$ and $u = [- 3, 9]$ . Find the y-component of $v + u$ .

문제 25간단한 답변

Let $a = [- 2, 5]$ and $b = [4, - 1]$ . Find the x-component of $3 a minus 2 b$ .

문제 26간단한 답변

A particle moves from $open paren 1 comma 2 close paren$ by vector $open bracket 3 comma negative 5 close bracket$ , then by vector $open bracket negative 7 comma 4 close bracket$ . Find the x-coordinate of the final point.

문제 27간단한 답변

Find the magnitude of $2 v minus u$ if $v equals open bracket 3 comma 4 close bracket$ and $u = [- 1, 6]$ .

문제 28간단한 답변

Points $P = (- 1, 3)$ , $Q equals open paren 4 comma 1 close paren$ , and $R = (0, - 2)$ are given. Find the magnitude of $\vec{P Q} + \vec{Q R}$ .

문제 29간단한 답변

A vector has initial point $open paren 6 comma negative 4 close paren$ and terminal point $open paren negative 2 comma 1 close paren$ . When this vector is rewritten as a position vector, what is the y-coordinate of its terminal point?