To discuss vectors, we first have a few remarks about coordinate systems. ... The
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MCV4U. Level: Credit Value: Pre-requisite: Co-requisite: Department: ... change
to include the derivatives of polynomial, sinusoidal, exponential, rational,.
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Jun 7, 2013 - ... Chadwick Sikaala2,3, Amri S Zomboko4, John E Gimnig5, Nicodem J Govella1 ...... Killeen GF, Smith TA, Ferguson HM, Mshinda H, Abdulla S, Lengeler C, .... Stevenson J, St Laurent B, Lobo NF, Cooke MK, Kahindi SC, ...
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MSC Baraa Hassun Mechanic Engineering2014. Original text book: Engineering
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Mar 3, 2011 - These formulas are often found as an application of Theorem 2.2.1 in elementary linear algebra ... Fnβ + Fnâ1. (2.3.24). Lemma 2.3.6 For all ...
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Spherical Unit Vectors in relation to Cartesian Unit Vectors. ˆˆ ˆ, , r θ φ can be
rewritten in terms of ˆ ˆ ˆ, ,. x y z using the following transformations: ˆ. ˆ. ˆ. ˆ sin cos
.
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Med Vet Entomol. 2000;14:345â54. 51. IRAC. Prevention and management of insecticide resistance in vectors of public health importance. London: IRAC; 2011.
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4. Check your answers seem right. 5. Always show your workings ... ABCDEF and GHIJKL are regular hexagons with centre O.
Name:
Exam Style Questions
Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed
Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings
Revision for this topic
1." " "
In the diagram OBDE and OAFG are parallelograms. B is the midpoint of OG. A is the midpoint of OE.
" "
(a) Express, in terms of a and b, the following vectors. Give your answers in their simplest form.
"
(i)
......................... (1) "
(ii)
......................... (1) "
(iii)
......................... (1) "
(b) Show
are parallel.
(2)
2.
" "
ABCDEF and GHIJKL are regular hexagons with centre O. GHIJKL is an enlargement of ABCDEF, with scale factor 2.
"
(a) Write the vector
in terms of a and b.
......................... (1) "
(b) Write the vector
in terms of a and b.
......................... (1) "
(c) Write the vector
in terms of a and b.
......................... (1)
"
(d) Write the vector
in terms of a and b.
......................... (1) "
(e) Write the vector
in terms of a and b.
......................... (1) "
(f) Write the vector
in terms of a and b.
......................... (1) "
(g) Write the vector
in terms of a and b.
......................... (1) "
(h) Write the vector
in terms of a and b.
......................... (1) "
(i) Write the vector
in terms of a and b.
......................... (1)
3." " "
OABC is a trapezium. Point D is the midpoint of BC. Point E is the midpoint of AC.
"
" "
(a) Write these vectors in terms of a and b.
"
"
(i)
......................... (1) "
"
(ii)
......................... (1) "
"
(iii)
......................... (1) "
(b) Show
are parallel.
(3)
4."
DFG is a straight line.
"
(a) Write down the vector
in terms of a and b
......................... (1) ! ! " " !
(b) DF : FG = 2:3 Work out the vector in terms of a and b Give your answer in its simplest form.
......................... (2)
5."
ABCD is a trapezium
" " "
AB and DC are parallel. DC = 2AB
"
(a) Write down the vector
in terms of a and b
......................... (1) " "
(b) Work out the vector in terms of a and b Give your answer in its simplest form.
