AnswersPrecalculusModeling with Vector Quantities

Modeling with Vector Quantities — Test Answers

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Let vector u with components three comma four What is 3 bold math font u ?

A
components nine comma seven
B
components with six comma twelve
C
components 9 comma 12
D
components 6 comma 7
23

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 ?

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).
24

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

A
Image with description On a coordinate plane, the x-axis ranges from negative 3 to 7 in increments of 1, and the y-axis ranges from 1 to 9 in increments of 1. A vector v prime has origin (0, 0) and terminal point (4, 9).
B
Image with description On a coordinate plane, the x-axis ranges from negative 3 to 5 in increments of 1, and the y-axis ranges from negative 2 to 6 in increments of 1. A vector v prime has origin (0, 0) and terminal point (4, 6).
C
Image with description On a coordinate plane, the x-axis ranges from negative 2 to 6 in increments of 1, and the y-axis ranges from negative 3 to 5 in increments of 1. A vector v prime has origin (0, 0) and terminal point (6, 4).
D
Image with description On a coordinate plane, the x-axis ranges from 1 to 9 in increments of 1, and the y-axis ranges from 1 to 7 in increments of 1. A vector v prime has origin (0, 0) and terminal point (9, 4).
25

A hand glider dives at 25 mph in a direction 60 degrees below horizontal. What is the component form of the velocity vector?

A
open paren 25 halves comma the fraction with numerator 25 square root of 3 and denominator 2 close paren
B
open paren negative 25 halves comma negative the fraction with numerator 25 square root of 3 and denominator 2 close paren
C
open paren negative 25 halves comma the fraction with numerator 25 square root of 3 and denominator 2 close paren
D
open paren 25 halves comma negative the fraction with numerator 25 square root of 3 and denominator 2 close paren

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