Multiple Choice Identify the
choice that best completes the statement or answers the question.
|
|
1.
|
Find the distance
between the points.
![mc001-1.jpg](chapter_11_post_tes_files/mc001-1.jpg)
a. |
units | b. |
units | c. | units | d. | units | e. | units |
|
|
2.
|
Find the distance
between the points.
![mc002-1.jpg](chapter_11_post_tes_files/mc002-1.jpg)
a. |
units | b. |
units | c. |
units | d. |
units | e. |
units |
|
|
3.
|
Find the lengths of the
sides of the triangle with the indicated vertices.
![mc003-1.jpg](chapter_11_post_tes_files/mc003-1.jpg)
a. | , ,
| b. | , , | c. | , ,
| d. | , , | e. | , , |
|
|
4.
|
Find the standard form
of the equation of the sphere with the given characteristics.
Center: ;
diameter: ![mc004-2.jpg](chapter_11_post_tes_files/mc004-2.jpg)
|
|
5.
|
Find the vector z, given .
![mc005-2.jpg](chapter_11_post_tes_files/mc005-2.jpg)
|
|
6.
|
Find the vector z, given .
![mc006-2.jpg](chapter_11_post_tes_files/mc006-2.jpg)
|
|
7.
|
Find the magnitude of v.
![mc007-1.jpg](chapter_11_post_tes_files/mc007-1.jpg)
|
|
8.
|
Find the angle between the vectors u and
v. Express your answer in degrees and round to the nearest tenth of a degree. u = –2i –3j –3k, v
= –2i –2j –7k
a. | 41.2° | b. | 61.1° | c. | 48.8° | d. | 28.9° | e. | 90° |
|
|
9.
|
Determine whether u and v are
parallel, orthogonal, or neither. u = ,
v = ![mc009-2.jpg](chapter_11_post_tes_files/mc009-2.jpg)
a. | neither | b. | parallel | c. | orthogonal |
|
|
10.
|
Use the vectors u and v to find .
![mc010-2.jpg](chapter_11_post_tes_files/mc010-2.jpg)
|
|
11.
|
Find the area of the parallelogram that has the
vectors as adjacent sides.
![mc011-1.jpg](chapter_11_post_tes_files/mc011-1.jpg)
|
|
12.
|
Find the area of the parallelogram that has the
vectors as adjacent sides.
![mc012-1.jpg](chapter_11_post_tes_files/mc012-1.jpg)
|
|
13.
|
Find the area of the parallelogram that has the
vectors as adjacent sides.
![mc013-1.jpg](chapter_11_post_tes_files/mc013-1.jpg)
|
|
14.
|
Find the triple scalar product.
![mc014-1.jpg](chapter_11_post_tes_files/mc014-1.jpg)
|
|
15.
|
Find and show that it is
orthogonal to both u and v.
![mc015-2.jpg](chapter_11_post_tes_files/mc015-2.jpg)
|
|
16.
|
Find the area.
![mc016-1.jpg](chapter_11_post_tes_files/mc016-1.jpg)
|
|
17.
|
Find a set of symmetric equations for the line
through the point and parallel to the specified vector or line.
Point: ![mc017-1.jpg](chapter_11_post_tes_files/mc017-1.jpg) Parallel to: ![mc017-2.jpg](chapter_11_post_tes_files/mc017-2.jpg)
a. | Symmetric equations: ![mc017-3.jpg](chapter_11_post_tes_files/mc017-3.jpg) | b. | Symmetric
equations: ![mc017-4.jpg](chapter_11_post_tes_files/mc017-4.jpg) | c. | Symmetric equations: ![mc017-5.jpg](chapter_11_post_tes_files/mc017-5.jpg) | d. | Symmetric equations: ![mc017-6.jpg](chapter_11_post_tes_files/mc017-6.jpg) | e. | Symmetric equations: ![mc017-7.jpg](chapter_11_post_tes_files/mc017-7.jpg) |
|
|
18.
|
Find a set of symmetric equations of the line that
passes through the given points.
![mc018-1.jpg](chapter_11_post_tes_files/mc018-1.jpg)
|
|
19.
|
Find a set of parametric equations of the
line.
Passes through and is perpendicular to .
|
|
20.
|
Find a set of parametric equations of the
line.
Passes through and is parallel to .
|