The vector and the vector are shown on the grid.
On the grid, draw and label vector
Work out as a column vector.
Did this page help you?
The vector and the vector are shown on the grid.
On the grid, draw and label vector
Work out as a column vector.
Did this page help you?
is a triangle.
Find in terms of and .
is the point on such that
Find in terms of and .
Give your answer in its simplest form.
Did this page help you?
is a parallelogram.
is the point on such that
Write down, in terms of and , an expression for
Express in terms of and.
Did this page help you?
is a triangle.
is the midpoint of .
is the midpoint of .
Show that is parallel to .
Did this page help you?
is a quadrilateral.
Express in terms of and .
is the point onsuch that
and .
Prove that
Did this page help you?
Circle the vector that translates the point (–2, 7) to the point (3, –1)
Did this page help you?
Here is vector .
Circle the column vector that represents .
Did this page help you?
and
Work out
Circle your answer.
Did this page help you?
and
Circle the vector
Did this page help you?
and
Circle the vector
Did this page help you?
Here are two vectors.
Find, as a column vector, .
Did this page help you?
and are regular hexagons each with centre .
is an enlargement of , with centre and scale factor 2
Write the following vectors, in terms of and .
Simplify your answers.
Did this page help you?
is a regular hexagon.
and are straight lines.
Find in terms of and .
Give your answer in its simplest form.
Did this page help you?
Vectors and 4b are drawn on the grid.
Write vector as a column vector.
Find vector b as a column vector.
Did this page help you?
Vector and vector
Gavin starts to draw a diagram to show that
Complete Gavin’s diagram.
Did this page help you?
is a vector.
Given that is parallel to , find two possible answers for .
or
Did this page help you?
Vector , vector .
On each grid below, draw a vector to represent
Emma says that if she draws vector and vector they will be the same.
Explain why this is incorrect.
Did this page help you?
Vectors a, b, c, d and e are drawn on an isometric grid.
Write each of the vectors c, d and e in terms of a and/or b.
c = ....................
d = ....................
e = ....................
Did this page help you?
is a triangle.
is a point on .
Find the vector , in terms of and .
is the midpoint of .
is the midpoint of .
Show that is a straight line.
Did this page help you?
is a trapezium.
is the point on such that = 1 : 3
Find in terms of and .
Give your answer in its simplest form.
What does your answer to part (b) tell you about the position of point ?
Did this page help you?
is a triangle.
is the point on such that
Show that is parallel to the vector .
Did this page help you?
and
is the midpoint of .
Write in terms of and .
Give your answer in its simplest form.
is the midpoint of .
is the point on such that = 2 : 1
Show that is a straight line.
Did this page help you?
is a quadrilateral.
is the point on such that
Prove that
Did this page help you?
is a triangle.
is the point on such that
where is a scalar quantity.
Find the value of .
Did this page help you?
In triangle
is the midpoint of
Work out in terms of and .
Give your answer in its simplest form.
Did this page help you?
is a straight line.
Circle the vector
Did this page help you?
Work out .
Show that is parallel to .
Did this page help you?
Is a straight line?
Show working to support your answer.
Did this page help you?
is a triangle.
The midpoint of is .
is a point on .
Find the ratio .
Did this page help you?
is a triangle.
The point lies on such that
The point lies on such that
Using a vector method, prove that is a trapezium.
Did this page help you?
The diagram shows parallelogram .
The point has coordinates (5, 8)
Work out the coordinates of the point .
The point has coordinates (63, 211)
Use a vector method to prove that is a straight line.
Did this page help you?
The diagram shows triangle
is the midpoint of .
is the midpoint of .
is the point on such that
and
Express, in terms of and ,
State, giving reasons, two different geometric facts relating and
Did this page help you?
Given that
find the value of and the value of .
= .......................
= .......................
Did this page help you?
Two vectors, a and b, are shown on the 1 centimetre grid below.
Show that the vector a + 2b has length 7cm.
You may use the grid below.
Did this page help you?
Vector , vector .
Find the value so that
= .....................................................
Did this page help you?
P, Q, R and S are the midpoints of OX, XY, YZ and OZ respectively.
, and .
Show that is parallel to .
Did this page help you?
is a parallelogram.
is the point such that
The point divides in the ratio
Write an expression for in terms of and .
Prove that is a straight line.
Did this page help you?
is a straight line.
Express in terms of and .
Give your answer in its simplest form.
Did this page help you?
is a parallelogram.
is the midpoint of .
is the midpoint of .
Show that is a straight line.
Did this page help you?
is a parallelogram.
is the midpoint of the line .
is a straight line so that
Given that
find the value of
Did this page help you?
and are straight lines.
is the midpoint of .
where is a scalar quantity.
Given that is a straight line, find the value of .
Did this page help you?
and are straight lines.
is the midpoint of .
is the midpoint of .
where is a scalar quantity.
Given that is a straight line, find the value of .
Did this page help you?
is a quadrilateral.
Express in terms of and/or .
Give your answer in its simplest form.
is the midpoint of .
is the point on such that
is a straight line.
Work out the value of .
Did this page help you?
In the diagram
Show that
Is a straight line?
Show working to support your answer.
Did this page help you?
Here is quadrilateral .
is a point on where
is a point on where
Is parallel to
Show working to support your answer.
Did this page help you?
is a pentagon.
Show that is a parallelogram.
Did this page help you?
The diagram shows triangle
is the point on such that
is the midpoint of
is the point of intersection of and
Using a vector method, find as a simplified expression in terms of and
Show your working clearly.
= ...................................
Did this page help you?
is a trapezium.
is the midpoint of
is the point such that and are straight lines.
Given that
use a vector method to find the value of
....................................................
Did this page help you?
Vector m= and vector n =
Vector 2m + n is parallel to
Find the value of .
.........................................
Did this page help you?
The diagram shows triangle OAB and points C and D.
= 3and = 3b.
C lies on AB such that AC = 2CB.
D is such that = + 2 + b.
Show, using vectors, that OCD is a straight line.
Did this page help you?
is a parallelogram.
and .
is the midpoint of .
is the midpoint of .
Prove that and are parallel.
Did this page help you?