The position vectors of points P and Q are p =2i + 3j – k and q = 3i – 2j + 2k respectively. Find...

The position vectors of points P and Q are p =2i + 3j – k and q = 3i – 2j + 2k respectively. Find the magnitude of PQ correct to 4 significant figures.

---

---

sharon kalunda answered the question on May 2, 2019 at 09:26

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• a)Expand and simplify (1 – 5x)⁴. (Solved)
  

  a)Expand and simplify (1 – 5x)⁴.
  b) Use the expansion in (a) above to estimate the value of 0.9⁴ to 4 significant figures.

  Date posted: May 2, 2019 .    Answers (1)

• A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years. (Solved)
  

  A man invests KSh. 10,000 in an account which pays 16% interests p.a compounded quarterly. Find the amount in the account after 1 ½ years.

  Date posted: May 2, 2019 .    Answers (1)

• Make P the subject of the formula in:- (Solved)
  

  Make P the subject of the formula in:-
  

  Date posted: May 2, 2019 .    Answers (1)

• In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm... (Solved)
  

  In the figure below DC is a tangent to the circle at point D. Given that ABC is a straight line where AB = 7cm and AC =
  16.5cm, find the length of DC.
  

  Date posted: May 2, 2019 .    Answers (1)

• By expressing tan 30⁰ as (Solved)
  

  By expressing tan 30⁰ as simply the expression leaving your answer with a rationalized denominator.

  Date posted: May 2, 2019 .    Answers (1)

• Use logarithm tables to evaluate: (Solved)
  

  Use logarithm tables to evaluate:
  

  Date posted: May 2, 2019 .    Answers (1)

• Solve 2Sin²y + 3Cos y = 3 for 0⁰= 360⁰. (Solved)
  

  Solve 2Sin²y + 3Cos y = 3 for 0⁰≤ 360⁰.

  Date posted: May 2, 2019 .    Answers (1)

• Kamau sells a packet of type A of sugar for KSh. 63 and that of type B of Sugar for KSh. 36. He mixed the... (Solved)
  

  Kamau sells a packet of type A of sugar for KSh. 63 and that of type B of Sugar for KSh. 36. He mixed the two types of sugar in the ratio 3:2. Find the price per packet of the mixture for which he will make the same profit as before.

  Date posted: May 2, 2019 .    Answers (1)

• A radius of a circle is given as 2.8cm to 2 significant figures. By taking ?? to be 3.142, find to 4 significant figures, the... (Solved)
  

  A radius of a circle is given as 2.8cm to 2 significant figures. By taking 𝜋 to be 3.142, find to 4 significant figures, the limits between the area of the circle lie.

  Date posted: May 2, 2019 .    Answers (1)

• The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm. (Solved)
  

  The diagram below shows a circle ABC with AB = 12cm, BC = 15cm and AC = 14cm.
  
  Calculate to 4 significant figures.
  (a) The angle ACB
  (b) The radius of the circle
  (c) The area of the shaded region.

  Date posted: May 2, 2019 .    Answers (1)

• (a) Fill in the table below for the function. y = 2x² + 5x – 12 for -8= x =4 (Solved)
  

  (a) Fill in the table below for the function.
  y = 2x² + 5x – 12 for -8≤ x ≤4
  
  (b) Using the table, draw the graph of the function y = 2x² + 5x – 12.
  (c) Use the drawn above to solve the following equations.
  (i) 2x² + 5x – 12 = 0
  (ii) 3 – 7x – 2x²= 0
  

  Date posted: May 2, 2019 .    Answers (1)

• The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ. (Solved)
  

  The diagram below shows a triangle OPQ in which QN:NP = 1:2, OT:TN = 3:2 and M is the midpoint of OQ.
  
  (a) Given that OP = p and OQ = q. Express the following vectors in terms of p and q.
  (i) PQ
  (ii) ON
  (iii) PT
  (iv) PM
  (b) (i) Show that points P, T and M are collinear.
  (ii) Determine the ratio MT:TP

  Date posted: May 2, 2019 .    Answers (1)

• The figure below shows a model of a pillar to be constructed at the Canterbury. The model consists of a circular base of diameter and a... (Solved)
  

  The figure below shows a model of a pillar to be constructed at the Canterbury. The model consists of a circular base of
  diameter and a uniform pentagon stand of side 6cm and height 20cm.
  
  (a) Calculate the cross-sectional area of the pentagon to 2 decimal places.
  (b) Calculate the total volume of the model to 2 dp.
  (c) If the height of the real pillar is 52m and the constructor uses two bags of cement for every 500m³ of the
  construction, calculate the least number of bags of cement required.

  Date posted: May 2, 2019 .    Answers (1)

• The figure below shows the outline of the land owned by Rera – Yala community sugarcane Farm drawn to scale. (Solved)
  

  The figure below shows the outline of the land owned by Rera – Yala community sugarcane Farm drawn to scale.
  
  (a) Given that AF = 600m, determine the scale used.
  (b) By showing all your workings enter the details of the farm in a survey field book.
  (c) Given that this land is currently valued at KSh. 250,000 per hectare, calculate its value.

  Date posted: May 2, 2019 .    Answers (1)

• Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In... (Solved)
  

  Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh.30,000. In the month of February she sold goods worth KSh. 300,000 at a discount of 6%. Calculate her total earning that month.

  Date posted: May 2, 2019 .    Answers (1)

• Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the full tank in 40 minutes. Starting... (Solved)
  

  Pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Pipe C can empty the full tank in 40 minutes.
  Starting with an empty tank, calculate the length of time it will take to fill the tank when;
  (a) All the three pipes are turned on at the same time.
  (b) All the three pipes are turned on at the same time then pipe B is closed after 10 minutes.

  Date posted: May 2, 2019 .    Answers (1)

• The curved surface area of a cylindrical container is 1980cm². If the radius of the container is 21cm, calculate to one decimal place the capacity of... (Solved)
  

  The curved surface area of a cylindrical container is 1980cm². If the radius of the container is 21cm, calculate to one
  decimal place the capacity of the container in litres. (Take 𝜋 =22/7)

  Date posted: May 2, 2019 .    Answers (1)

• Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C. (Solved)
  

  Three quantities A, B and C are such that A varies directly as the square of B and inversely as the cube root of C.
  (a) Given that A = 20 when B = 5 and C = 27. Write the equation connecting A, B and C.
  (b) Find the value of A when B = 7 and C = 125.

  Date posted: May 2, 2019 .    Answers (1)

• Given that theta is an acute angle and, (Solved)
  

  Given that theta is an acute angle and,
  
  without using mathematical tables or calculator find tan (90⁰ - theta), leaveyour answer in surd form.

  Date posted: May 2, 2019 .    Answers (1)

• Determine the inverse of the matrix T,Give that (Solved)
  

  Determine the inverse of the matrix T,Given that
  
  Hence find the coordinates of the point at which the two lines x + 2y = 7 and x – 2y = -1 intersect.

  Date posted: May 2, 2019 .    Answers (1)