Lesson 10.5.1
10.5.1 Using vectors to solve problems in pure mathematics Quiz: Pearson Edexcel Maths, Unit 10
20 questions
In partnership with Revision Ninja
Lesson 10.5.1, Using vectors to solve problems in pure mathematics: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 10: Vectors, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What geometric shape is formed if the position vectors of three points are collinear?
- Circle
- Triangle
- Straight line
- Parallelogram
-
If vectors a and b are parallel, what must be true of their scalar multiple relationship?
- a = kb
- a = b squared
- a + b = 0
- a dot b = 0
-
What does the dot product of two perpendicular vectors equal?
- Zero
- One
- Undefined
- Negative one
-
Which vector operation is used to find the angle between two intersecting vectors?
- Cross product
- Scalar product
- Vector addition
- Vector product
-
If vector AB equals minus vector BA, what does this indicate about their direction?
- Parallel magnitudes
- Perpendicular
- Same direction
- Opposite directions
-
What is the vector equation of a straight line passing through position vector a with direction d?
- r = t + ad
- r = td - a
- r = a + td
- r = a dot d
-
How do you prove mathematically that two lines in 3D space intersect?
- Equate components
- Add directional vectors
- Equal magnitudes
- Dot product zero
-
What does a parameter like t represent in the vector equation of a line?
- Position vector
- Scalar variable
- Unit vector
- Fixed distance
-
Find the position vector of the midpoint between points with position vectors a and b.
- a - b
- 2(a + b)
- 0.5(a + b)
- a + 2b
-
If the point C divides line AB in the ratio 3:2, what coefficient precedes vector b in its position vector?
- Three-fifths
- Three-halves
- Two-fifths
- Two-thirds
-
What shape is formed by connecting the midpoints of the sides of any quadrilateral in order?
- Square
- Rhombus
- Rectangle
- Parallelogram
-
If position vectors of vertices form a triangle, what proves it is isosceles?
- Zero dot product
- Equal magnitudes
- Equal directions
- Parallel bases
-
What vector result confirms that a triangle inscribed in a semicircle contains a right angle?
- Zero resultant sum
- Equal side lengths
- Parallel vectors
- Perpendicular dot product
-
Calculate the magnitude of the vector 3i + 4j - 12k.
- sqrt(19)
- 19
- 7
- 13
-
Find the vector AB given position vector A as 2i + j and B as 5i + 5j.
- 3i + 4j
- 3i - 4j
- 7i + 6j
- -3i - 4j
-
Determine the value of k if vectors 2i + kj and 6i - 8j are parallel.
- -3/8
- -8/3
- 3/8
- 8/3
-
What is the angle between vectors i + j and i?
- 45 degrees
- 90 degrees
- 60 degrees
- 30 degrees
-
If lines r = i + t(2j) and r = 2i + s(i + j) intersect, what is the intersection point position vector?
- i + j
- 2i + j
- 3i + 3j
- 2i + 2j
-
Find lambda if vectors ai + 3j and 4i + 6j are perpendicular.
- -9/2
- -8/3
- 8/3
- 9/2
-
What geometric theorem is easily proven using vectors by showing opposite sides are equal and parallel?
- Parallelogram diagonals
- Cosine rule
- Sine rule
- Pythagoras theorem
Related quizzes
- Vectors in two and three dimensions Quiz · 10.1.1 · 20 questions
- Magnitude and direction of a vector Quiz · 10.2.1 · 20 questions
- Adding vectors Quiz · 10.3.1 · 20 questions
- Position vectors and the distance between points Quiz · 10.4.1 · 20 questions
- Structure of mathematical proof and methods of proof Quiz · 1.1.1 · 20 questions
- Laws of indices for all rational exponents Quiz · 2.1.1 · 20 questions
- Straight lines and their equations Quiz · 3.1.1 · 20 questions
- Binomial expansion Quiz · 4.1.1 · 20 questions
- Sine, cosine and tangent for all angles Quiz · 5.1.1 · 20 questions
- Exponential function e^x and its graph Quiz · 6.1.1 · 20 questions