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Math 12 Chapter 7
Vectors
Test - 3
1.
3i x (-2k) = ?
a) 6j
b) 6k
c) -6j
d) 6
2.
The volume of a tetrahedron 0ABC is equal to _______________
a) 1/8 volume of the parallelepiped
b) 1/6 volume of the parallelepiped
c) 1/4 volume of the parallelepiped
3.
The scalar projection of A = i - 2j + k is onto the direction to
®
B = 4i - 4j + 7k:
a) 9/19
b) 8/19
c) 90
d) 19/9
4.
What is the value of (2i - j) . (3i + k)?
a) 6
b) 4
c) 0
o
d) 3
5.
If x . y = 0 then what is
q
?
a) None of the above
b) 0
c) -1
d) 90
6.
What is equal to i . i = j . j = k . k?
a) -1
b) 6
c) 1
d) None of the above
7.
What is equal to i x i = j x j = k x k?
a) 1
b) -1
c) None of the above
d) 0
8.
2i x 3k = ?
a) 5
b) -6k
c) -6j
d) 6j
9.
The scalar projection of A = 2i + 3j + 6k to the direction of
®
B = i + 5j + 3j is:
a) 19/9
b) -5
c) None of the above
d) 5
10.
If
®
A x
®
B = 0 then
q
= ?
a) None of the above
b) 0
o
c) 45
o
d) True
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