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1
Which of the following could be the vector equation of the line through (4, 5) and (7, −2)?
A)[x, y] = [4, 5] + s [7, -2]
B)[x, y] = [7, -2] + t [4, 5]
C)[x, y] = [7, -2] + s [-3, 7]
D)[x, y] = [-3, 7] + t [4, 5]
2
What is the parametric equation of the line through (−2,4) with direction vector [3,−2] ?
A)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q2_a.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

B)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q2_b.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

C)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q2_c.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

D)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q2_d.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
3
What is the vector equation of the plane with the parametric equations
shown:<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q3.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
A)[x,y,z] = [2,1,0] + s [-1,-2,3] + t [0,4,-3]
B)[x,y,z] = [2,-1,0] + s [1,-2,4] + t [0,3,-3]
C)[x,y,z] = [2,-1,4] + s [1,-2,4] + t [1,3,-3]
D)[x,y,z] = [2,-1,0] + s [1,-2,4] + t [1,3,-3]
4
Which of the following is NOT a point on the plane [x,y,z] = [3,2,-1] + s [2,4,1] + t [0,-2,1] ?
A)(2, −3, 0)
B)(1, 4, 1)
C)(4, 7, −2)
D)(6, 5, 2)
5
Which of the following is a plane parallel to 3x -2y + z - 4 = 0 ?
A)15x - 10y + 5z + 3 = 0
B)6x - 4y - 8 = 0
C)9x + 3z - 12 = 0
D)12x - 8y + z - 16 = 0
6
Which of the following is a plane perpendicular to 2x - 4y + 5z - 2 = 0 ?
A)4x - 8y + 10z - 3 = 0
B)3x + 4y + 2z - 1 = 0
C)4x + 2y - z - 3 = 0
D)6x - y - 3z + 2 = 0
7
Find the (shortest) distance, to the nearest hundredth of a unit, between the skew lines shown:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q7.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

A)0.94 u
B)1.13 u
C)1.37 u
D)1.44 u
8
Find the (shortest) distance, to the nearest tenth of a unit, between the point (3, 2, 1) and plane x + 7y + z = 0 :
A)2.5 u
B)2.7 u
C)3.3 u
D)4.1 u
9
Solve the system shown:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070735824/582659/mhr_cv12_studyquiz_ch8_q9_a.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

A)(x, y, z) = (1, 4, -1)
B)(x, y, z) = (2, 2, 1)
C)(x, y, z) = (1, 3, 1)
D)No solution; two of the planes are parallel.
10
Find the vector equation of the line of intersection of the planes 6x - y - 3z + 8 = 0 and 2x + 3y + 4z - 4 = 0 .
A)[y, z] = [2, 0] + s [2, 3]
B)[x, y, z] = [0, 2, 0] + s [1, 2, 3]
C)[x, y, z] = [0.25, -1.5, 1] + t [-1, 2, 0]
D)[x, y, z] = [-1, 2, 0] + t [0.25, -1.5, 1]





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