Part 1: Vectors
The following is the Multiple Choice component of the Final 30% Evaluation. Select
one (1) response that best answers each question. You should not leave any question
blank. This component of the Final Summative Evaluation is worth 15 marks (1 for
each question).
Question 1 (1 point)
The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2)+t(2, -1, 3), converted into scalar form, has
equation
a) 4x+2y+z-5=0
b) 2x-y-6z=0
c) 3x+z-13=0
d) x-7y-3z+13 = 0
Question 2 (1 point)
Suppose u and v are non-zero, parallel vectors. Which of the following could not
possibly be true?
â—‹a)=
b) u+v=0
Odx=2
d) + = 20
Question 3 (1 point)
If u, v and w are mutually perpendicular vectors, which of the following would not be
true?
Oalve (u-w) = 0
b) wo (v+u) = 0
c) v (wxū) = 0
d) (uxv) (uxw) = 0
Question 4 (1 point)
The plane x+Oy+Oz = 2 is
a) parallel to the yz-plane
b) parallel to the xz-plane
c) parallel to the xy-plane
Final Task Part 3
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Question 4 (1 point)
The plane x+Oy+0z = 2 is
a) parallel to the yz-plane
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Ο
parallel to the xz-plane
c) parallel to the xy-plane
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d) none of the above
Question 5 (1 point)
Given three vectors, u, v, and w, if u (v x w) = 0, what geometrical result can be
concluded?
Oa) u, v, and ware mutually perpendicular
b) u, v, and w are on the same plane
Oc) v, and w, are parallel, and both are perpendicular to u
d) One of u, v, or w must be 0.
Question 6 (1 point)
Given unit vectors i, j and k, 2j x 3k=
O a) -5i
O b) Si
Oc)-61
O d) 61
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