23
QuizMultiple Choice

Modeling with Vector Quantities — Test

Question 23 • Precalculus

Given transformation matrix cap t is equal to the 2 by 2 matrix, row 1, column 1, 0 column 2, negative 1 row 2, column 1, negative 1 column 2, 0 , which diagram shows the application of cap t to v ?

Answer
A
Image with description On a coordinate plane, the x-axis ranges from negative 4 to 2 in increments of 1, and the y-axis ranges from negative 4 to 2 in increments of 1. A vector v prime has origin (0, 0) and terminal point (negative 2, negative 1).
B
Image with description On a coordinate plane, the x-axis ranges from negative 4 to 2 in increments of 1, and the y-axis ranges from negative 4 to 2 in increments of 1. A vector v prime has origin (0, 0) and terminal point (negative 1, negative 2).
C
Image with description On a coordinate plane, the x-axis ranges from negative 3 to 3 in increments of 1, and the y-axis ranges from negative 3 to 3 in increments of 1. A vector v prime has origin (0, 0) and terminal point (1, 2).
D
Image with description On a coordinate plane, the x-axis ranges from negative 3 to 3 in increments of 1, and the y-axis ranges from negative 3 to 3 in increments of 1. A vector v prime has origin (0, 0) and terminal point (2, 1).
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