Decomposing a Vector into Components In Exercises 57 − 60 , find the projection of u onto v . Then write u as the sum of two orthogonal vectors , one of which is proj v u . u = 2 , 2 v = 6 , 1
Decomposing a Vector into Components In Exercises 57 − 60 , find the projection of u onto v . Then write u as the sum of two orthogonal vectors , one of which is proj v u . u = 2 , 2 v = 6 , 1
Solution Summary: The author calculates the projection of u =2,2ontov=6,1 as the sum of two orthogonal vectors.
Decomposing a Vector into Components In Exercises
57
−
60
, find the projection of
u
onto
v
. Then write
u
as the sum of two orthogonal vectors, one of which is
proj
v
u
.
u
=
2
,
2
v
=
6
,
1
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
32
SOUCAHTOA
Rom
Coso-Adj
opponite
1270
H
X
Hyp
Tant=OPP
Adj
20 #
Zom
Adjacent
CoS2E 20 XHX Tanz 20
20
K
-0.0445503261 -1.764201788
0-044550326 60044550320
(1 mark) 3960
8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
이
(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
3+
12
7/18
(2/20
2105
SSS
20
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