Question 1

Given the vector v and its initial point find the terminal point of the vector.   initial point

Accepted Answer

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B)    
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E)    
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D)    
E)

Question 2

Find the coordinates of the midpoint of the line segment joining the points given below.
(4, 8, 4), (7, 10, 7)

Accepted Answer

A) (5.5, 1, 5.5) 
B) (1.5, 1, 5.5) 
C) (1.5, 9, 5.5) 
D) (1.5, 9, 1.5) 
E) (5.5, 9, 5.5) 
A) (5.5, 1, 5.5) 
B) (1.5, 1, 5.5) 
C) (1.5, 9, 5.5) 
D) (1.5, 9, 1.5) 
E) (5.5, 9, 5.5)

Question 3

Given

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Question 4

Find the magnitude of the vector given below.

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Question 5

Find the component form of vector u + v given   and the angles that u and v make with the positive x-axis are

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Question 6

Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

Accepted Answer

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Question 7

To carry a 100-pound cylindrical weight, two workers lift on the ends of short ropes tied to an eyelet on the top center of the cylinder.One rope makes a   angle away from the vertical
And the other makes a   angle as shown in the figure below.Find each rope's tension if the resultant
Force is vertical.Round your answer to two decimal places.

Accepted Answer

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B)    
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E)

Question 8

Find the vector v whose initial and terminal points are given below. (5,5), (7,2)

Accepted Answer

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Question 9

Find a unit vector u in the direction opposite of

Accepted Answer

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B)    
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D)    
E)    
A)    
B)    
C)    
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E)

Question 10

To carry a 500-pound cylindrical weight, two workers lift on the ends of short ropes tied to an eyelet on the top center of the cylinder.One rope makes a   angle away from the vertical
And the other makes a   angle as shown in the figure below.Find the vertical component of each
Worker's force.Round your answer to two decimal places.

Accepted Answer

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B)    
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E)

Question 11

Given

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Question 12

Find the unit vector in the direction of

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E)    
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E)

Question 13

Find the standard equation of a sphere that has diameter with the end points given below.
(3, -2, 4), (7, 12, 4)

Accepted Answer

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B)    
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D)    
E)    
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Question 14

Find the coordinates of the point that is located 4 units behind the yz-plane, 6 units to the left of xz-plane, and 4 units above the xy-plane.

Accepted Answer

A) (-4,-6,-4) 
B) (-4,6,4) 
C) (4,-6,4) 
D) (-4,6,-4) 
E) (-4,-6,4) 
A) (-4,-6,-4) 
B) (-4,6,4) 
C) (4,-6,4) 
D) (-4,6,-4) 
E) (-4,-6,4)

Question 15

Suppose a plane is flying in the direction (relative to the west).Its speed with respect to the air is 600 kilometers per hour.The wind at the plane's altitude is from the southwest at
80 kilometers per hour (see figure).What is its speed with respect to the ground? Round your answer
To one decimal place.

Accepted Answer

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B)    
C)    
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E)    
A)    
B)    
C)    
D)    
E)

Question 16

Complete the square to write the following equation in the standard form for a sphere.

Accepted Answer

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D)    
E)    
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Question 17

Three forces with magnitudes   pounds,   pounds and   pounds act on an object at angles   respectively, with the positive x-axis.Find the direction and magnitude
Of the resultant force.(The choices below are given to two decimal places.)

Accepted Answer

A)    with the positive x-axis 
B)    with the positive x-axis 
C)    with the positive x-axis 
D)    with the positive x-axis 
E) with the positive x-axis   
A)    with the positive x-axis 
B)    with the positive x-axis 
C)    with the positive x-axis 
D)    with the positive x-axis 
E) with the positive x-axis

Question 18

Suppose a gun with a muzzle velocity of 1200 feet per second is fired at an angle of   above the horizontal.Find the horizontal component of the velocity.Round your answer to two decimal places.

Accepted Answer

A)    ft/sec 
B)    ft/sec 
C)    ft/sec 
D)    ft/sec 
E) ft/sec   
A)    ft/sec 
B)    ft/sec 
C)    ft/sec 
D)    ft/sec 
E) ft/sec

Question 19

Suppose a plane is flying in the direction   Its speed with respect to the air is 900 kilometers per hour.The wind at the plane's altitude is from the southwest at 100 kilometers per hour
(see figure).What is the true direction of the plane? Round your answer to two decimal places.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Given the vector v and its initial point find the terminal point of the vector. initial point

Find the coordinates of the midpoint of the line segment joining the points given below. (4, 8, 4), (7, 10, 7)

Given

Find the magnitude of the vector given below.

Find the component form of vector u + v given and the angles that u and v make with the positive x-axis are

Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

Find the vector v whose initial and terminal points are given below. (5,5), (7,2)

Find a unit vector u in the direction opposite of

Given

Find the unit vector in the direction of

Find the standard equation of a sphere that has diameter with the end points given below. (3, -2, 4), (7, 12, 4)

Find the coordinates of the point that is located 4 units behind the yz-plane, 6 units to the left of xz-plane, and 4 units above the xy-plane.

Complete the square to write the following equation in the standard form for a sphere.

Three forces with magnitudes pounds, pounds and pounds act on an object at angles respectively, with the positive x-axis.Find the direction and magnitude Of the resultant force.(The choices below are given to two decimal places.)

Suppose a gun with a muzzle velocity of 1200 feet per second is fired at an angle of above the horizontal.Find the horizontal component of the velocity.Round your answer to two decimal places.

Suppose a plane is flying in the direction Its speed with respect to the air is 900 kilometers per hour.The wind at the plane's altitude is from the southwest at 100 kilometers per hour (see figure).What is the true direction of the plane? Round your answer to two decimal places.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

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Exam 11: Vectors and the Geometry of Space

Given the vector v and its initial point find the terminal point of the vector. initial point

Find the coordinates of the midpoint of the line segment joining the points given below. (4, 8, 4), (7, 10, 7)

Given

Find the magnitude of the vector given below.

Find the component form of vector u + v given and the angles that u and v make with the positive x-axis are

Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

Find the vector v whose initial and terminal points are given below. (5,5), (7,2)

Find a unit vector u in the direction opposite of

Given

Find the unit vector in the direction of

Find the standard equation of a sphere that has diameter with the end points given below. (3, -2, 4), (7, 12, 4)

Find the coordinates of the point that is located 4 units behind the yz-plane, 6 units to the left of xz-plane, and 4 units above the xy-plane.

Complete the square to write the following equation in the standard form for a sphere.

Three forces with magnitudes pounds, pounds and pounds act on an object at angles respectively, with the positive x-axis.Find the direction and magnitude Of the resultant force.(The choices below are given to two decimal places.)

Suppose a gun with a muzzle velocity of 1200 feet per second is fired at an angle of above the horizontal.Find the horizontal component of the velocity.Round your answer to two decimal places.

Suppose a plane is flying in the direction Its speed with respect to the air is 900 kilometers per hour.The wind at the plane's altitude is from the southwest at 100 kilometers per hour (see figure).What is the true direction of the plane? Round your answer to two decimal places.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters