Question 1

Find the triple scalar product   .

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Question 2

Given   , sketch the graph of   . ​

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Question 3

Find the component form of vector v given its magnitude is   and the angle it makes with the positive x-axis is   .

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Question 4

Given   , find   .

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B)  0 
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Question 5

Identify the equation of the following graph.

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Question 6

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

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Question 7

Find the distance between the planes given below.

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Question 8

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. ​   ​

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Question 9

Find the area of the parallelogram with the vertices   , and   . Round your answer to two decimal places.

Accepted Answer

A)  122.00 
B)  6.00 
C)  11.05 
D)  12.00 
E)  3.46 
A)  122.00 
B)  6.00 
C)  11.05 
D)  12.00 
E)  3.46

Question 10

Given   and   find   .

Accepted Answer

A)  -44 
B)  4 
C)  -4 
D)  46 
E)  14 
A)  -44 
B)  4 
C)  -4 
D)  46 
E)  14

Question 11

Given   and   , find   . ​

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Question 12

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

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Question 13

Find the magnitude of the vector given below. Round your answer to four decimal places.

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Question 14

Given   and   , find   .

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Question 15

Find the component form of the vector u with the given initial and terminal points. Initial point: (2, 1, 1 )
Terminal point: (7 , 10 , 3 )

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Question 16

The vector v and its initial point is given. Find the terminal point.   , initial point

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Question 17

Given   and   , find the vector component of u orthogonal to v. ​

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Question 18

Identify the equation (written in terms of cylindrical or spherical coordinates) of the following graph. ​   ​

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Question 19

Find the vector   .

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Question 20

Find the volume of the parallelepiped with the following vertices.

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Find the triple scalar product .

Given , sketch the graph of .

Find the component form of vector v given its magnitude is and the angle it makes with the positive x-axis is .

Given , find .

Identify the equation of the following graph.

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

Find the distance between the planes given below.

Find the area of the parallelogram with the vertices , and . Round your answer to two decimal places.

Given and find .

Given and , find .

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

Find the magnitude of the vector given below. Round your answer to four decimal places.

Given and , find .

Find the component form of the vector u with the given initial and terminal points. Initial point: (2, 1, 1 ) Terminal point: (7 , 10 , 3 )

The vector v and its initial point is given. Find the terminal point. , initial point

Given and , find the vector component of u orthogonal to v.

Identify the equation (written in terms of cylindrical or spherical coordinates) of the following graph.

Find the vector .

Find the volume of the parallelepiped with the following vertices.

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Exam 11: Vectors and the Geometry of Space

Find the triple scalar product .

Given , sketch the graph of . ​

Find the component form of vector v given its magnitude is and the angle it makes with the positive x-axis is .

Given , find .

Identify the equation of the following graph.

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

Find the distance between the planes given below.

Find the area of the parallelogram with the vertices , and . Round your answer to two decimal places.

Given and find .

Given and , find . ​

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

Find the magnitude of the vector given below. Round your answer to four decimal places.

Given and , find .

Find the component form of the vector u with the given initial and terminal points. Initial point: (2, 1, 1 ) Terminal point: (7 , 10 , 3 )

The vector v and its initial point is given. Find the terminal point. , initial point

Given and , find the vector component of u orthogonal to v. ​

Identify the equation (written in terms of cylindrical or spherical coordinates) of the following graph. ​ ​

Find the vector .

Find the volume of the parallelepiped with the following vertices.

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Given , sketch the graph of .

Given and , find .

Given and , find the vector component of u orthogonal to v.

Identify the equation (written in terms of cylindrical or spherical coordinates) of the following graph.