Lesson G25
G25 apply addition and subtraction of vectors, multiplication of vectors by a scalar, and... Quiz: Pearson Edexcel Maths, Unit 4
20 questions
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Lesson G25, apply addition and subtraction of vectors, multiplication of vectors by a scalar, and...: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, 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 happens when you multiply a vector by the scalar 3?
- Length triples
- Components halve
- Direction triples
- Length squares
-
In a column vector, what does the top number represent?
- Horizontal component
- Vertical component
- Scalar multiplier
- Magnitude total
-
When adding two vectors diagrammatically, how are they arranged?
- Parallel overlap
- Head to head
- Head to tail
- Tail to tail
-
If a = (2, 5) and b = (−1, 3), what is a + b?
- (1, 8)
- (3, 2)
- (1, 2)
- (−2, −15)
-
If a = (4, −2) and b = (1, 6), what is a − b?
- (3, −8)
- (−3, 8)
- (5, 4)
- (3, 8)
-
If p = (3, −1), what is 2p?
- (5, −3)
- (6, −1)
- (6, −2)
- (3, −2)
-
If u = (−4, 2), what is −½u?
- (2, −1)
- (2, 1)
- (−2, 1)
- (−8, 4)
-
AB = a and BC = b. Which expression gives AC?
- −a − b
- b − a
- a − b
- a + b
-
The origin is O, OA = a and OB = b, and M is the midpoint of AB. Which expression gives OM?
- ½(b − a)
- a − ½b
- a + b
- ½(a + b)
-
OA = (5, 2) and OB = (1, 6). What is the vector BA?
- (6, 8)
- (4, 4)
- (4, −4)
- (−4, 4)
-
Vector a = (2, 3). Which vector is parallel to a and three times as long?
- (6, 9)
- (3, 2)
- (6, 3)
- (2, 9)
-
If p = (1, 2) and q = (4, 1), what is 3p − q?
- (−1, 7)
- (1, 5)
- (7, 7)
- (−1, 5)
-
Vectors b = (−6, 9) and a = (2, −3) are parallel. What scalar k gives b = k a?
- −6
- 3
- −1/3
- −3
-
In a parallelogram OABC, OA = a and OC = c. What is OB?
- c − a
- 2a + c
- a + c
- a − c
-
If vector AB = 2a and vector BC = 3a, what can be said about points A, B and C?
- Collinear
- Concyclic
- Equilateral
- Perpendicular
-
Evaluate (3, −1) + (−2, 4) − (1, 2) in column form.
- (2, 1)
- (4, 5)
- (0, −1)
- (0, 1)
-
The arrow from P to Q is 4 units right and 3 units up. What is the vector QP?
- (−4, 3)
- (3, 4)
- (4, 3)
- (−4, −3)
-
A point P lies on AB with AP : PB = 2 : 1. If OA = a and OB = b, which expression gives OP?
- a + b
- ⅓a + ⅔b
- ⅔a + ⅓b
- ½a + ½b
-
If 2u + v = (6, 0) and u − v = (3, 3), what is u?
- (3, −1)
- (3, 1)
- (9, 3)
- (2, 0)
-
Quadrilateral ABCD has vector AB = (2, 1) and vector DC = (4, 2). What type of shape is it?
- Parallelogram
- Trapezium
- Kite
- Rhombus
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