Get premium membership and access questions with answers, video lessons as well as revision papers.
Dot product is given by u.v
=(2*2)+(2*(-3))
=2
Now u.v=|u||v|Cos theta
where theta= angle between
2=(v2²+2²)*(v(3²)+(-2²)Cos theta
Cos theta= 0.1961161
theta= 78.7°
The angle between is 78.7°
Dckwach answered the question on March 26, 2019 at 22:00
- Verify Rolle's theorem for the function f(x)=x²-4x-12,intervals [6<=x<=-2]
(Solved)
Consider the function f(x)=x²-4x-12 in the interval [6<=x<=-2].Verify Rolle's theorem. (3Marks)
Date posted: January 23, 2019. Answers (1)
- Consider the function f(x)=x²-7x+10 in the interval [2<=x<=5].Verify Rolle's theorem. (3Marks)(Solved)
Consider the function f(x)=x²-7x+10 in the interval [2<=x<=5].Verify Rolle's theorem. (3Marks)
Date posted: January 23, 2019. Answers (1)
- State Rolle's theorem. (2 Marks)(Solved)
State Rolle's theorem. (2 Marks)
Date posted: January 23, 2019. Answers (1)
- State the classification of Differential equations. (3 Marks)
(Solved)
State the classification of Differential equations. (3 Marks)
Date posted: January 23, 2019. Answers (1)
- Define the term Differential equation. (2 Marks)(Solved)
Define the term Differential equation. (2 Marks)
Date posted: January 23, 2019. Answers (1)
- Why are premiums paid in advance?(Solved)
Why are premiums paid in advance?
Date posted: December 27, 2018. Answers (1)
- Express 8,200,000 in standard form(Solved)
Express 8,200,000 in standard form
Date posted: December 17, 2018. Answers (1)
- Explain what are quadrilaterals giving an example(Solved)
Explain what are quadrilaterals giving an example
Date posted: December 8, 2018. Answers (1)
- What is the supplementary angle to 130 degrees(Solved)
What is the supplementary angle to 130 degrees
Date posted: December 8, 2018. Answers (1)
- If the mass of a tin is given as 2kg to the nearest 10g,find the percentage error(Solved)
If the mass of a tin is given as 2kg to the nearest 10g,find the percentage error
Date posted: December 8, 2018. Answers (1)
- Define surds and give an example(Solved)
Explain what are surds in mathematics giving an example of a surd
Date posted: December 8, 2018. Answers (1)
- Explain the difference between cardinal numbers and ordinal numbers(Solved)
Explain the difference between cardinal numbers and ordinal numbers.
Date posted: December 8, 2018. Answers (1)
- What is the area of a square whose diagonal is 10 cm?(Solved)
What is the area of a square whose diagonal is 10 cm?
Date posted: November 23, 2018. Answers (1)
- If £100 is invested at compound interest of 8% per annum,determine (a). The value after 10 years (b) The time correct to the nearest year it takes to reach more than £300.(Solved)
If £100 is invested at compound interest of 8% per annum,determine
(a). The value after 10 years
(b). The time correct to the nearest year it takes to reach more than £300.
Date posted: October 21, 2018. Answers (1)
- Find the unit vector perpendicular to the vectors a=2i+j+k, b+3i-j+2k. Also find the angle between a and b(Solved)
Find the unit vector perpendicular to the vectors
a=2i+j+k
b+3i-j+2k
Also find the angle between a and b
Date posted: October 13, 2018. Answers (1)
- What are the measures of deviation?(Solved)
What are the measures of deviation?
Date posted: October 9, 2018. Answers (1)
- A committee of 8 lecturers is to formed out of 6 science, 8 arts teachers and a physical instructor. Determine the number of ways the committee can be formed if:(Solved)
A committee of 8 lecturers is to formed out of 6 science, 8 arts teachers and a physical instructor.
Determine the number of ways the committee can be formed if:
I) Any teacher can be included in the committee
II) There should be 3 science and 4 arts teachers in the committee
Date posted: October 1, 2018. Answers (1)
- Find the number of sides of a polygon whose interior angle is 165 degrees (Solved)
Find the number of sides of a polygon whose interior angle is 165 degrees
Date posted: September 9, 2018. Answers (1)
- In arithmetic the 8th term is twice the 4th term and 20th term is 40. find the common difference and the sum of 8th to...(Solved)
In arithmetic the 8th term is twice the 4th term and 20th term is 40. find the common difference and the sum of 8th to 20 term inclusive. 2, The house on one side of a major street are a sign odd numbers starting with 11. If the sum of the numbering is 155. find the number of houses along the street
Date posted: September 5, 2018. Answers (1)
- Find the least number which if multiplied by 40, makes it a perfect square?
(Solved)
The knowledge of both indices and square and square roots can be applied
Date posted: August 30, 2018. Answers (1)