QIBT
1201BPS
MATHS 1A
HOMEWORK
Question 1
Two children are pushing a trolley around a supermarket
The forces that they exert and the angles that their forces act at are shown on the diagram
below
(a)
Resolve the 30 newton force into its
i
and
j
components
(b)
Also resolve the 20 newton force into
its
i
and
j
components
(c)
Find the total force acting the trolley
(d)
Will
the trolley move forward or at an angle?
Question 2
(a)
Draw a set of
3D vectors
i
,
j
,
k
in which the
x
axis points East, the
y
axis points
North and the
z
axis points upwards .
They must be a right handed set of vectors
(a) Now draw in the vector
a
which starts at the origin, has length 2 and points
straight upwards.
Also draw in the vector
b
which has length 3 and which points
due west.
(b) Use the triangle rule in 3D to draw in the vector
a
+
b
(d)
Write
a
and
b
in terms of
i
,
j
and
k
and calculate
a
+
b
as a 3D vector
HOMEWORK
1
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View Full DocumentQuestion 3
The two 3D vectors
u
and
v
are defined as
u
= 3
i
+
j
+ 2
k
and
u
= 2
i
+ 3
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 Three '11
 MariaAneiros
 Math, Angles, Vectors, Dot Product, 2k, Standard basis, 30 newton force

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