Answers NC-Math 4 CRUnit Test

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What is the product?

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Each column of the matrix represents a vertex of a rectangle on the coordinate plane. If Fan scales the rectangle by finding 4A, what are the vertices of the scaled rectangle?

(4, 4), (24, 4), (24, 20), (4, 20)

(5, 5), (10, 5), (10, 9), (5, 9)

(4, 4), (6, 1), (6, 5), (1, 5)

(5, 5), (6, 1), (6, 5), (4, 20)

What is the value of C in the matrix equation below?

Option

Let |u| = 4 at an angle of 210° and |v| = 9 at an angle of 315°, and w = u – v. What is the magnitude and direction angle of w?

|w| = 5.5; θ = 156.1°

|w| = 5.5; θ = 203.9°

|w| = 10.8; θ = 156.1°

|w| = 10.8; θ = 203.9°

The transformation T = is applied the figure below. Which transformation is applied to the figure?

reflect across the y-axis

rotate 90° counterclockwise about the origin

reflect across y = –x

rotate 180° counterclockwise about the origin

What are the values of c and d in the matrix subtraction below?

Option

Let a = 2i + 9j, b = –4i + 5j, c = i – 3j, and d = 14j where i and j are unit vectors. What is (a – b) – (2d – c) in terms of i and j?

5i – 27j

5i + 35j

7i – 27j

7i + 39j

The diagram below shows vector v.Given transformation matrix , which diagram shows the application of T to v?

Option

Which diagram shows the parallelogram method for vector addition?

Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares an origin with the terminal point of vector u, and shares a terminal point with the terminal point of vector v.

Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares a terminal point with the terminal point of vector u, and shares an origin with the terminal point of vector v.

Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares an origin with the vectors v and u and goes down and to the right.

Vectors v and u share an origin. Vector v goes up and to the left, and vector u goes down and to the right. Vector u + v shares an origin with the vectors v and u and goes down and to the right and is double the size of vectors v and u.

The matrix represents the length of 12 in. and the width of 4 in. of a rectangle. If matrix multiplication is used to double the length and width of the rectangle, which rectangle represents the result of the matrix multiplication?

Option

Jonas made the following matrix of temperatures for the first 4 days of January. He also made the following matrix of temperatures for the first 4 days of February. Which matrix shows the difference of January and February?