Lesson 1 Homework Answers

Weidong Post in Teaching info，
07 February 2023
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You can find the answers to last homework here: answers

Math 9, Lesson 1, 2/2/2023

Weidong Post in Homework, Math 9, Spring 2022，
02 February 2023
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We start the new chapter on vectors.

While a scalor is a quantity that has only magnitude, a vector is a quantity that has both magnitude and direction. We usually use directed line segment to represent a vector. The direction of the line segment, indicated by an arrow, represents the direction of the vector, and the length of the line segment represents the magnitude of the vector.

Two vectors are equal if they have equal magnitude and are in the same direction.

For vector additions, we study the triangle law and parallelogram law of vector additions.

Homework:

Page 1, Page 2, Page 3, Page 4

Workbook P 31, #1, #2, #3, #4, #5, #12, #15.

Math 9, Lesson 16, 1/26/2023

Weidong Post in Fall 2022, Math 9, Teaching info，
26 January 2023
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We have our final exam today. I will send the exam result to you individually via email, and also post answers.

Math 9, Lesson 15, 1/19/2023

Weidong Post in Fall 2022, Math 9, Teaching info，
19 January 2023
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We have a review today. We will have our final exam for the Fall Semester next Sunday.

Answers to Lesson 14 Homework

Weidong Post in Teaching info，
19 January 2023
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3.3.1 26 * 10 = 260

3.3.2 z = a + bi, |z| = sqrt(a^2 + b^2) = sqrt (a^2 + (-b)^2) = |z bar|

3.3.3 z = 12/7 + 5i

3.3.4 (a) z = 1 + i, z = -1 – i (b) z = 2 + 3i, z = -2 -3i (c) z 5 – i. z = -5 + i

3.3.5 (a) 1/5 (b) 1/5 (c) 5/13 (d) 5/13

3.3.6 (a) All non-zero imaginary numbers or all non-zero real numbers (b) all complex numbers satisfying z = a + ai or z = a – ai

3.3.7 x = +/- 3i

Math 9, Lesson 14, 1/12/2023

Weidong Post in Fall 2022, Homework, Math 9, Teaching info，
12 January 2023
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We continue our study of complex number. Today we look at various properties of a complex number with its conjugate.

Homework (pages are links. Click to download): Page 3,

3,3.1 – 3.3.1 – 3.3.7

Answers to Lesson 13 Homework

Weidong Post in Teaching info，
28 December 2022
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3.2.1 Draw your own diagram

3.2.2 a. 25 b. 4 c. 5

3.2.3 63

3.2.4 25

3.2.5 Z1 = a + bi, Z2 = c + di, mid point is (a+c)/2 + (b+d)i/2 = (Z1 + Z2) / 2

3.2.6 a. 1 b. 1 c. 1

3.2.7 2 – i

Math 9, Lesson 13, 12/22/2022

Weidong Post in Fall 2022, Homework, Math 9, Teaching info，
22 December 2022
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We continue our study of complex number. Today we talk about representing complex numbers in Complex Plane and how to calculate the magnitude of a complex number.

Homework (pages are links. Click to download): Page 1, Page 2

3.2.1 – 3.2.7

Answers to Lesson 12 Homework

Weidong Post in Teaching info，
21 December 2022
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3.1.1 z = +/- sqrt(3) i

3.1.2 a. -9 + 9i b. 56 + 33i c. 4 + 36i d. 112/169

3.1.3 a. 7 b. 3/34 + 5i/34

3.1.4 a. 0 b. 0 c. 8 + 4i

3.1.5 -i/2

3.1.6 a. 6 + 3i b. 14/123 + i/41 c. 74/25 – 18i/25

3.1.7 2, 0, -2

Math 9, Lesson 12, 12/15/2022

Weidong Post in Fall 2022, Homework, Math 9, Teaching info，
15 December 2022
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In the next thtree lessons, we study complex numbers.

Today we talk about the arithmetic of complex numbers, addition, subtraction, multiplication and division.

Homework (pages are links, click to download): Page 1, Page 2,

3.1.1 – 3.1.7

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