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  3.   a. the plane x = 2 is   a) parallel t

  a. The plane x = 2 is   a) parallel to the yz-plane   b) parallel to the xz-plane   c) parallel to the...

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Question

Basic Math

 

a. The plane x = 2 is

 

a)

parallel to the yz-plane
 

b)

parallel to the xz-plane
 

c)

parallel to the xy-plane
 

d)

none of the above

b. Which of the following vectors is not perpendicular to vector u =(-5, 2, 1)?

 

a)

v = (3, 7, 1)
 

b)

v = (-2, -10, 10)
 

c)

v = (1, 2, 1)
 

d)

v = (4, 5, 8)

c.Given unit vectors i, j and k, 2j × 3k=

 

a)

-5i
 

b)

5i
 

c)

-6i
 

d)

6i

d. If Car A is travelling north at 50 km/h and Car B is travelling south at 60 km/h, the velocity of Car A relative to Car B is

 

a)

110 km/h north
 

b)

10 km/h north
 

c)

110 km/h south
 

d)

10 km/h south

e. Given three vectors, u, v, and w, if u • (v × w) = 0, what geometrical result can be concluded?

 

a)

u, v, and w are mutually perpendicular
 

b)

u, v, and w are on the same plane
 

c)

v, and w, are parallel, and both are perpendicular to u
 

d)

One of u, v, or w must be 0.

f. 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

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