Modeling with Vector Quantities - Test Test Answers

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

A wagon is being pulled by a 300 -pound force that makes a 30 degrees angle with the ground. What are the horizontal and vertical components of the force vector?

Which transformation is applied to the figure?

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 ?

Which statement accurately describes the vector shown?

Which statement accurately describes the vector shown?

A wagon is being pulled by a 300 -pound force that makes a 30 degrees angle with the ground. What are the horizontal and vertical components of the force vector?

Which transformation is applied to the figure?

Let magnitude of vector u is equal to 4 at an angle of 210 degrees and magnitude of vector v is equal to 9 at an angle of 315 degrees , and vector w is equal to vector u minus vector v What is the magnitude and direction angle of vector w ?

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

Which diagram shows the parallelogram method for vector addition?

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 force of 50 pounds acts in a direction 60 degrees above horizontal, moving an object 100 feet from open paren 0 comma 0 close paren to open paren 100 comma 0 close paren How much work is done by the force?

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

Given vector u with components two comma negative eight and vector v with components eight comma negative two , what is vector u times vector v ?

Let magnitude of vector u is equal to 4 at an angle of 210 degrees and magnitude of vector v is equal to 9 at an angle of 315 degrees , and vector w is equal to vector u minus vector v What is the magnitude and direction angle of vector w ?

A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240 pi inches per minute. What is the distance, in inches, between the particle and the fixed point?

Given vectors vector u with components negative two comma three and vector v with components negative six comma nine , what is the measure of the angle between vector u and vector v ?

A boat leaves a pier and travels 15 miles due east, then turns and travels 15 miles in the direction cap n 20 degrees cap e Which diagram represents the boat’s current distance, x , from the pier?

The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?

Eliminate the parameter in the equations x is equal to 5 cosine t minus 7 and y is equal to 5 sine t plus 9 How can the rectangular equation be described?

A boat leaves a pier and travels 15 miles due east, then turns and travels 15 miles in the direction cap n 20 degrees cap e Which diagram represents the boat’s current distance, x , from the pier?

Given vectors vector u with components negative two comma three and vector v with components negative six comma nine , what is the measure of the angle between vector u and vector v ?

Given vector u with components two comma negative eight and vector v with components eight comma negative two , what is vector u times vector v ?

A vector has initial point at open paren 3 comma negative 5 close paren and terminal point at open paren negative 2 comma 3 close paren What are the characteristics of this vector?

Let magnitude of vector r is equal to 6 at an angle of 30 degrees and magnitude of vector s is equal to 11 at an angle of 225 degrees Which expression represents magnitude of vector r minus vector s ?

The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?

The magnitude of vector u is 34 , and the magnitude of vector v is 20 The dot product vector u times vector v is equal to negative 10 What is the approximate angle between the vectors?

A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components 14 comma 23 After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station. What are the characteristics of the vector representing the path of the ship?

A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point open paren 0 comma 0 close paren Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?

Which rectangular equation represents the parametric equations x is equal to 3 t raised to the 1 half power and y is equal to 6 t ?

On a Ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the Ferris wheel.

The magnitude of vector u is 34 , and the magnitude of vector v is 20 The dot product vector u times vector v is equal to negative 10 What is the approximate angle between the vectors?

A vector has initial point at open paren 3 comma negative 5 close paren and terminal point at open paren negative 2 comma 3 close paren What are the characteristics of this vector?

The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?

Eliminate the parameter in the equations x is equal to 5 cosine t minus 7 and y is equal to 5 sine t plus 9 How can the rectangular equation be described?

A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point open paren 0 comma 0 close paren Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?

A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components 14 comma 23 After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station. What are the characteristics of the vector representing the path of the ship?

Let magnitude of vector r is equal to 6 at an angle of 30 degrees and magnitude of vector s is equal to 11 at an angle of 225 degrees Which expression represents magnitude of vector r minus vector s ?

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70 degrees How long is the dart in the air? Round to the nearest tenth.

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

Which diagram shows the parallelogram method for vector addition?

On a Ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the Ferris wheel.

The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?

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 ?

Which rectangular equation represents the parametric equations x is equal to 3 t raised to the 1 half power and y is equal to 6 t ?

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 particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240 pi inches per minute. What is the distance, in inches, between the particle and the fixed point?

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

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