Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

In the figure below, QT = a and QP = b.

In the figure below, QT = a and QP = b.

(a) Express the vector PT in terms of a and b.
(b) If PX = kPT, express QX in terms of a, b and k, where k is a scalar.
(c) If QR = 3a and RS = 2b, write down an expression for QS in terms of a and b.
(d) If QX = tQS, use your result in (b) and (c) to find the value of k and t.
(e) Find the ratio PX : XT.

Answers

sharon kalunda answered the question on April 26, 2019 at 10:51

Answer Attachments

Next: Describe Anaplasmosis disease.

Previous: Describe East coast Fever disease.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

The figure below shows a circle centre O in which QOT is a diameter. (Solved)

The figure below shows a circle centre O in which QOT is a diameter. RSU are straight lines.

Calculate the following angles giving a reason in each case.
(a) (b) (c) (d) Obtuse (e)
Date posted: April 26, 2019 . Answers (1)

Mr. Chesingei earned an annual basic salary of Kenya pounds 12360 when the rates of taxation were as in the table below. (Solved)

Mr. Chesingei earned an annual basic salary of Kenya pounds 12360 when the rates of taxation were as in the table
below.

Apart from the basic salary, he is entitled to a house allowance of Kshs. 12,000 and medical allowance of Kshs. 6,000
per month.
(a) Calculate Chesingei’s monthly taxable income in Kenya pounds.
(b) Calculate Chesinge’s monthly net income if he is given a tax relief of Ksh. 980 per month. Give your answer in Kenyan shillings.

Date posted: April 26, 2019 . Answers (1)
Find the coordinates of A. (Solved)

Find the coordinates of A.

Date posted: April 26, 2019 . Answers (1)
In the figure below, ABCDE is a cross-section of a solid. The solid has a uniform cross-section. Given that BG is a base edge of the... (Solved)

In the figure below, ABCDE is a cross-section of a solid. The solid has a uniform cross-section. Given that BG is a base
edge of the solid, complete the sketch, showing the hidden edges with broken lines.

Date posted: April 26, 2019 . Answers (1)
In what ratio must “Murang’a” coffee costing sh. 25g per 100g be mixed with “Kisii” coffee costing sh. 17.50 per 100g, so that by selling the... (Solved)

In what ratio must “Murang’a” coffee costing sh. 25g per 100g be mixed with “Kisii” coffee costing sh. 17.50 per 100g,
so that by selling the mixture at sh. 25 per 100g, a profit of 25% is made?

Date posted: April 26, 2019 . Answers (1)
A bird flies from its nest to some food in three stages. The routes are described by the following vectors. (Solved)

A bird flies from its nest to some food in three stages. The routes are described by the following vectors.

Find the distance between the bird’s nest and where the food is.

Date posted: April 26, 2019 . Answers (1)
Six men take 28 days working for 10 hours a day to pack 4480 parcels. How many more men working 8 hours a day will be... (Solved)

Six men take 28 days working for 10 hours a day to pack 4480 parcels. How many more men working 8 hours a day
will be required to pack 2500 parcels in 4 days?

Date posted: April 26, 2019 . Answers (1)
The angles of a triangle are in the ratio 8 : 7 : 3. If the longest side of the triangle is 5.4cm. Calculate the... (Solved)

The angles of a triangle are in the ratio 8 : 7 : 3. If the longest side of the triangle is 5.4cm. Calculate the length of the
shortest side.

Date posted: April 26, 2019 . Answers (1)
Find the ratio p:q. (Solved)

If

find the ratio p : q.

Date posted: April 26, 2019 . Answers (1)
Expand the following expression (Solved)

Expand the following expression

up to the term independent of x. If this independent term is 1215, find the value of a.

Date posted: April 26, 2019 . Answers (1)
Simplify the following giving your answer in surd form with a rational denominator (Solved)

Simplify:
Giving your answer in surd form with a rational denominator.

Date posted: April 26, 2019 . Answers (1)
Find the radius and centre of the circle whose equations is 2x² + 2y²– 6x + 10y + 9 = 0. (Solved)

Find the radius and centre of the circle whose equations is 2x² + 2y²– 6x + 10y + 9 = 0.

Date posted: April 26, 2019 . Answers (1)
A surveyor gave the length and width of a rectangular plot as 80m and 55m respectively. Find his percentage error in the area of the rectangular... (Solved)

A surveyor gave the length and width of a rectangular plot as 80m and 55m respectively. Find his percentage error in
the area of the rectangular plot.

Date posted: April 26, 2019 . Answers (1)
Make x the subject of the formula: (Solved)

Make x the subject of the formula:

Date posted: April 26, 2019 . Answers (1)
Using logarithms, evaluate (Solved)

Using logarithms, evaluate

Date posted: April 26, 2019 . Answers (1)
QRST is a rhombus. The equations of QR, RS and TS are 2x + y = 7, x = 1 and 2x + y =... (Solved)

QRST is a rhombus. The equations of QR, RS and TS are 2x + y = 7, x = 1 and 2x + y = -1 respectively. Determine:-
(a) The co-ordinates of Q and S.
(b) The co-ordinates of m, the point of intersection of the diagonals.
(c) The co-ordinates of R and T.

Date posted: April 26, 2019 . Answers (1)
a) Solve the equation: (Solved)

(a) Solve the equation:

(b) A rectangular room is 4m longer than its width. If its area is 12m2, find its dimensions and hence the perimeter of the
room.

Date posted: April 26, 2019 . Answers (1)
(a) A bus travelling at 99km/hr passes a check-point at 10.00a.m. and a matatu travelling at 132km/h in the same direction passes through the check point... (Solved)

(a) A bus travelling at 99km/hr passes a check-point at 10.00a.m. and a matatu travelling at 132km/h in the same
direction passes through the check point at 10.15a.m. If the bus and the matatu continue at their uniform speeds, find
the time the matatu will overtake the bus.
(b) Two passenger trains A and B which are 240m apart and travelling in opposite directions at 164km/h and 88km/h
respectively approach one another on a straight railway line. Train A is 150 metres long and train B is 100 metres
long. Determine time in seconds that elapses before the two trains completely pass each other.

Date posted: April 26, 2019 . Answers (1)
A pail is in the shape of a container frustrum with base radius 6cm and top radius 8cm. The slant height of the pail is 30cm... (Solved)

A pail is in the shape of a container frustrum with base radius 6cm and top radius 8cm. The slant height of the pail is
30cm as shown below. The pail is full of water.

(a) Calculate the volume of water.
(b) All the water is poured into a cylindrical container of circular radius 7cm, if the cylinder has the height of 35cm;
calculate the surface area of the cylinder which is not in contact with water.

Date posted: April 26, 2019 . Answers (1)
Every Sunday Barmao drives a distance of 80km on a bearing of 074⁰ to pick up her sister Afandi to go to church. The church is... (Solved)

Every Sunday Barmao drives a distance of 80km on a bearing of 074⁰ to pick up her sister Afandi to go to church. The
church is 75km from Afandi’s home on bearing of S50⁰E. After church they drive a distance of 100km on a bearing of
260⁰ to check on their friend Akoth before Barmao drives to Afandi’s home to drop her off then proceed to her house.
(a) Using a scale of 1cm to represent 10km, show the relative positions of these places.
(b) Use your diagram to determine:
(i) The true bearing of Barmao’s home from Akoth’s house.
(ii) The compass bearing of the Akoth’s home from Afandi’s home.
(c) (i) The distance between Afandi’s home and Akoth’s home.
(ii) The total distance Barmao travel every Sunday.

Date posted: April 26, 2019 . Answers (1)