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

If OA = 3 i + 2j – 4k and OB = 4i + 5j – 2k, P divides AB in the ratio 3:-2....

If OA = 3 i + 2j – 4k and OB = 4i + 5j – 2k, P divides AB in the ratio 3:-2. Determine the modulus of Op leaving your answer to 1 decimal place. Given that O is the origin.

Answers

Kavungya answered the question on September 17, 2019 at 12:21

Answer Attachments

Next: You are provided with photographs of specimens labeled J1,J2,K1 and K2. Examine them.

Previous: Solve for x in 2 + log₇ ( 3x-4) = log₇ 98.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Make q the subject of the formula (Solved)

Make q the subject of the formula

Date posted: September 17, 2019 . Answers (1)
After millet, the cost per kilogram of maize flour and millet flour shs 24 and shs. 40 respectively. The maize and millet flour are now... (Solved)

After millet, the cost per kilogram of maize flour and millet flour shs 24 and shs. 40 respectively. The maize and millet flour are now mixed in the ration 5:3 what should the selling price per kilogramme of the mixture be, in order to make a 25% profit?

Date posted: September 17, 2019 . Answers (1)
Find the radius and the coordinates of the centre of the circle whose equations is 2x² + 2y² – 6x = 10y + 9 =0 (Solved)

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

Date posted: September 17, 2019 . Answers (1)
The figure shows a circle , centre o of radius 7cm MN and PN are tangents to the circle at M and P... (Solved)

The figure shows a circle , centre o of radius 7cm MN and PN are tangents to the circle at M and P respectively. ON = 25 cm calculate the length MP

Date posted: September 17, 2019 . Answers (1)
Use logarithms, correct to 4 decimal places, to evaluate. (Solved)

Use logarithms, correct to 4 decimal places, to evaluate.

Date posted: September 17, 2019 . Answers (1)
(a) An arithmetic progression is such that the first term is -5, the last is 135 and the sum of progression is... (Solved)

(a) An arithmetic progression is such that the first term is -5, the last is 135 and the sum of progression is 975. Calculate
(i) The number of terms in the series.
(ii) The common difference of the progression.
(b)The sum of the first three terms of a geometric progression is 27 and first term is 36.
Determine the common ratio and the value of the fourth term.

Date posted: September 17, 2019 . Answers (1)
The figure below shows a right pyramid VABCD with a square base of side 6 cm. VA = VB = VC = VD =... (Solved)

The figure below shows a right pyramid VABCD with a square base of side 6 cm. VA = VB = VC = VD = 12 cm

Calculate;
(i) The height of the pyramid correct to 2 d.p
(ii) The angle between the planes VAD and VBC correct to 2 significant figures.

Date posted: September 17, 2019 . Answers (1)
The taxation rate, for 2007 were as in the table below. In certain month in 2007, Mutai paid a tax of Ksh. 3000... (Solved)

The taxation rate, for 2007 were as in the table below.

In certain month in 2007, Mutai paid a tax of Ksh. 3000 after having been given a personal relief of Ksh. 1056 per month.
(a)How much tax per month could he have paid if he did not get tax relief.
(b)Calculate the his total taxable income in Ksh. P.m.
(c)Given that his total taxable allowance amount to Ksh. 4520 P.m. Calculate his monthly basic
salary in Kenya shillings.

Date posted: September 17, 2019 . Answers (1)
The graph below is part of the straight line graph obtained from the initial equation y = axⁿ use the graph to calculate... (Solved)

The graph below is part of the straight line graph obtained from the initial equation y = axⁿ use the graph to calculate the value of a and n,

Date posted: September 17, 2019 . Answers (1)
The area of a triangle where height is 4.4cm measured to the nearest millimeter is 13.2cm². Determine the maximum possible length of the base of... (Solved)

The area of a triangle where height is 4.4cm measured to the nearest millimeter is 13.2cm². Determine the maximum possible length of the base of the triangle to 4 s.f.

Date posted: September 17, 2019 . Answers (1)
The figure below shows a circle with secants ABE and CDE, if AB = 4cm and BE = 6cm and DE =... (Solved)

The figure below shows a circle with secants ABE and CDE, if AB = 4cm and BE = 6cm and DE = 4cm. find the length of CD.

Date posted: September 17, 2019 . Answers (1)
Find the value of X in the equation ( log₃X)² + 3 log ₃X = 4 (Solved)

Find the value of X in the equation ( log₃X)² + 3 log ₃X = 4

Date posted: September 17, 2019 . Answers (1)
Nairobi and Kisumu lie on the same longitude. The latitude of Nairobi is 1o12’s and that of Kisumu is 5o50’N. Calculate the distance between them... (Solved)

Nairobi and Kisumu lie on the same longitude. The latitude of Nairobi is 1o12’s and that of Kisumu is
5o50’N. Calculate the distance between them in nautical miles

Date posted: September 17, 2019 . Answers (1)
Find the distance between the centre A of a circle whose equation is 2x² + 2y² + 6x + 10y + 7 = 0 ... (Solved)

Find the distance between the centre A of a circle whose equation is 2x² + 2y² + 6x + 10y + 7 = 0 and the point B ( -4 ,1).

Date posted: September 17, 2019 . Answers (1)
There are three athletes A,B, C in a 100m race. A is twice as likely to win as B, while B is twice as... (Solved)

There are three athletes A,B, C in a 100m race. A is twice as likely to win as B, while B is twice as likely to win as C. Find the probability that A does not win the 100m race.

Date posted: September 17, 2019 . Answers (1)
Taps A and B can fill a tank in 4 and 9 hours respectively. Both taps are turned on for 2 hours after which ... (Solved)

Taps A and B can fill a tank in 4 and 9 hours respectively. Both taps are turned on for 2 hours after which tap A is closed. Find how long tap B takes to fill the remaining part of the tank

Date posted: September 17, 2019 . Answers (1)
In the figure below, A triangle A¹B¹C¹ is the image of triangle ABC under a rotation centre O. By constructor, find and label centre... (Solved)

In the figure below, A triangle A¹B¹C¹ is the image of triangle ABC under a rotation centre O.
By constructor, find and label centre O. Hence determine the angle of rotation.

Date posted: September 17, 2019 . Answers (1)
If (x + 3) ( x + 4) is equivalent to ( x + a)²+b. Find the values of a and... (Solved)

If (x + 3) ( x + 4) is equivalent to ( x + a)²+b. Find the values of a and b.

Date posted: September 17, 2019 . Answers (1)
Two variables P and Q are such that P varies partly as Q and partly as the square root of Q. Determine the... (Solved)

Two variables P and Q are such that P varies partly as Q and partly as the square root of Q. Determine
the equation connecting P and Q when Q = 16, P = 500 and when Q = 25, P = 800.

Date posted: September 17, 2019 . Answers (1)
The figure below represent a solid frustum. The faces ABCD and EFGH are parallel squares of sides 10cm and 6 cm respectively. Each... (Solved)

The figure below represent a solid frustum. The faces ABCD and EFGH are parallel squares of sides 10cm and 6 cm respectively. Each of the slanting edges AE, BF, CG and DH are equal to 4cm.

Determine:
a)The length of the projection of AE on the plane ABCD
b)The angle between the line AE and the plane ABCD
c)The angle between the plane BCGF and ABCD

Date posted: September 17, 2019 . Answers (1)