Ahmed finds the magnitude of the vector .
From this list, select the correct calculation.
Â
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Syllabus Edition
First teaching 2021
Last exams 2024
Ahmed finds the magnitude of the vector .
From this list, select the correct calculation.
Â
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Find .
Â
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Find Â
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Point  has coordinates  and point  has coordinates .
Write  as a column vector.
Â
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The diagram shows a regular hexagon .
and .
Find , in terms of and , giving your answer in its simplest form.
= .......................................
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is the origin, and .
Â
Find the position vector of , in terms of and , in its simplest form.
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In the diagram, O is the origin, and .
Find , in terms of and , in its simplest form.
................................................
Find the position vector of E, in terms of and , in its simplest form.
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         Â
Write down two facts about the geometrical relationship between the vectors and .
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a parallelogram.
and
is the point on such that
Find , in terms of and , in its simplest form.
..................................................Â
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is a parallelogram.
is the point on such that .
and .
Find, in terms of and , an expression in its simplest form for .
Â
= ....................................................
Find, in terms of and , an expression in its simplest form for .
Â
= ....................................................
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 and .
Write down two statements about the relationship between the points ,  and .
1 ......................................  Â
2 ......................................  Â
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is the origin, and .
Find the position vector of .
Give your answer in terms of and , in its simplest form.
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P is the point (16, 9) and Q is the point (22, 24).
N is the point on PQ such that PN = 2NQ.
Find the co-ordinates of N.
(.................... , ....................)
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The diagram shows a parallelogram .
 and .
is the midpoint of .
Find an expression, in terms of and , for .
Give your answer in its simplest form.
.................................................
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The diagram shows a triangle and a straight line .
and is the midpoint of .
and .
Find , in terms of and , in its simplest form.
.................................................
Find , in terms of and , in its simplest form.
.................................................
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is the origin and is a parallelogram.
is a straight line with .
is a straight line with .
is a straight line and .
and .
Find, in terms of and , in its simplest form,
i)
the position vector of ,
Â
[2]
ii)
.
Â
................................................ [1]
Show that is parallel to .
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is the origin, , and .
and .
Find, in terms of and , in its simplest form .
...................................................
Find, in terms of and , in its simplest form the position vector of .
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is a parallelogram and is the origin.
 and .
is the midpoint of .
and Â
Â
Find  in terms of p and q, giving your answer in its simplest form.Â
Â
............................................
Find the position vector of  in terms of p and q, giving your answer in its simplest form.Â
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is a parallelogram with and .
is a straight line with .
is a straight line with .
Write , in terms of and , in its simplest form.Â
Â
..............................................
The straight line cuts atÂ
is the midpoint of .
Find the value of .Â
Â
= .............................................
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In the diagram, is a parallelogram.
and intersect at and .
and .
Find , in terms of and , in its simplest form.
Â
................................................
................................................ [2]
................... : ................... [2]
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