# Unit 2 - Chapter 12 - Scalars and Vectors

a
Which of the following is not a scalar quantity?

a) velocity
b) length
c) volume
d) time
e) area

e
A scalar quantity has:

a) necessary units only
b) numerical size of the quantity only
c) magnitude only
d) both direction and numerical size of the quantity
e) both magnitude and necessary units

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e
Distance is:

a) always a vector quantity
b) velocity divided by time
c) measured in a straight line
d) always measured in a circular path
e) a scalar quantity

c
A vector quantity has:

a) both numerical size and the necessary units of the
quantity
b) both direction and necessary units of the quantity
c) direction, magnitude and necessary units of the quantity
d) magnitude and necessary units of the quantity
e) magnitude only

d
Vectors that are all in the same plane are defined as:

a) scalar
b) concurrent
c) resultants
d) coplanar
e) antiplanar

b
A single vector which can replace a system of vectors and has
the same effect is called a:

a) coplanar vector
b) resultant
c) concurrent vector
d) scalar
e) none of the above

b
Find the resultant of 3 concurrent coplanar forces of:
i) 60 N acting 20 degrees east of north
ii) 30 N east
iii) 150 N acting 40 degrees east of south

a) 240 N east
b) 160 N 68 degrees east of south
c) 60 N 40 degrees east of south
d) 140 N 100 degrees east of south
e) 30 N 73.8 degrees east of north

e
A plane is flying at 56 km/h at a bearing of 65 degrees.
After flying for 3 hours the plane heading is changed to a
bearing of 90 degrees. After flying for a further 1 hour at
56 km/h what is the plane’s bearing from its original
position?

a) 81 degrees
b) 86 degrees
c) 42 degrees
d) 25 degrees
e) 71 degrees

a
Find the magnitude and direction of the resultant
of 3 coplanar forces of:
i) 40 N 45 degrees east of south
ii) 10 N west
iii) 70 N 35 degrees east of north

a) 65 N 65 degrees east of north
b) 35 N 35 degrees east of south
c) 120 N west
d) 100 N 25 degrees east of south
e) 55 N 45 degrees west of south

d
Find the magnitude and direction of the resultant of 4 concurrent coplanar
forces:
i) 10 N 32 degrees east of north
ii) 35 N 50 degrees east of north
iii) 25 N 72 degrees east of north
iv) 85 N 40 degrees east of south

a) 70 N 56 degrees east of north
b) 45 N 44 degrees east of north
c) 196 N 87 degrees east of south
d) 114 N 77 degrees east of south
e) 30 N 72 degrees east of south

b
Determine the resultant of the following vector system:
i) 65 km 60 degrees south of east
ii) 120 km 30 degrees west of north
iii) 30 km 35 degrees east of north
iv) 75 km south

a) 120 km 70 degrees east of south
b) 11 km 75 degrees west of south
c) 61 km 63 degrees east of south
d) 50 km south
e) 92 km 42 degrees west of south

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