Ahmed finds the magnitude of the vector .
From this list, select the correct calculation.
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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.
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Find .
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Find
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Point has coordinates and point has coordinates .
Write as a column vector.
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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 .
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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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.
..................................................
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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 .
= ....................................................
Find, in terms of and , an expression in its simplest form for .
= ....................................................
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and .
Write down two statements about the relationship between the points , and .
1 ......................................
2 ......................................
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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 ,
[2]
ii)
.
................................................ [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
Find in terms of p and q, giving your answer in its simplest form.
............................................
Find the position vector of in terms of p and q, giving your answer in its simplest form.
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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.
..............................................
The straight line cuts at
is the midpoint of .
Find the value of .
= .............................................
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In the diagram, is a parallelogram.
and intersect at and .
and .
Find , in terms of and , in its simplest form.
................................................
................................................ [2]
................... : ................... [2]
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