MAT 251 Checkpoint 9: Vectors and the Geometry of (R^2) and (R^3) | Questions with Correct Answers Key | Latest 2026/27 Update

2/3/26, 6:23 PM Checkpoint 9: Vectors and the Geometry of R?2 and R®




Calculus Il / Checkpoint 9: Vectors and the Geometry of R2and R® / Checkpoint 9: Vectors and the Geometry of R*and R?




Question 1

Not yet answered

Points out of 1.00




Find the derivative of the given vector function.


F(t) = —Inti + e 'j — 3tk
Select one:
Oa #(t)=1i—etj— 6tk
O b. #(t) = —1i —e7tj — 6tk
Oc 7(t)=—1i+e%j—6tk
Od 7(t)=—1i+etj+6tk
O e. None of the above




Question 2

Not yet answered

Points out of 1.00




Which of the equations could have the given graph?

-~
~
7 i
>
—————




N
)




.
!


i



.
N
Ve




\
LN
\




\
\




.




~
\
\




Select one:
O a x+z=3
Ob. x-z=3
Oc y=3
Od y+3=0
O e. None of the above




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, 2/3/26, 6:23 PM Checkpoint 9: Vectors and the Geometry of R?2 and R®

Question 3

Not yet answered

Points out of 1.00




Find the vector 3%, given the vectors & and v below.




Select one:
O a. /




O b. /




O C. \




O e. None of the above




Question 4

Not yet answered

Points out of 1.00




Find the limit, tEm 7(t), for the given vector function.
—00




7(t) = (Tt>2+ <§%+11)3 + <%ln(t—|— 1)2)75

Select one:
O a (0,-1,0)
O b. (0,1,2)
Oc (0,53,0)
O d. The limit does not exist.
O e. None of the above




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