Resultant: Error Analysis & Misconceptions
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correcting misconceptions related to the calculation of resultants of column vectors.
Worksheet Preview
Full preview • 12 questions
Resultant: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Introduction
Review the concept of the resultant vector, which is the vector sum of two or more vectors. The resultant can be found by adding the corresponding components of the vectors.
B
Fluency & Practice
Answer the following questions to develop your procedural mastery of calculating resultants.
1.
Given vectors A = (3, 4) and B = (1, -2), calculate their resultant vector.
[3 marks]2.
Add the vectors (5, -3) and (-2, 7). What is the resultant?
[3 marks]3.
If vector P = (2, 5) and vector Q = (3, -1), what is P + Q?
[3 marks]C
Problem Solving & Reasoning
Tackle these multi-step problems involving resultants and explain your reasoning.
1.
A vector A = (x, 2) and vector B = (3, y) are added to produce a resultant vector (7, 6). Find the values of x and y.
[4 marks]2.
A boat moves north with a velocity represented by vector (0, 10). It then drifts east with a velocity of (5, 0). What is the resultant velocity? Explain your method.
[4 marks]3.
Two forces represented by vectors (6, 2) and (-2, 4) act on an object. Determine the resultant force and interpret its direction and magnitude.
[3 marks]D
Real-world Applications
Apply your understanding of resultants to realistic scenarios.
1.
A hiker walks 3 km east and then 4 km north. Represent these movements as vectors and find the resultant displacement. How far is the hiker from the starting point?
[4 marks]2.
A delivery drone flies with a velocity of (8, 3) km/h due east and is affected by a wind blowing with velocity (-2, 4) km/h. Find the drone's actual velocity and explain how the resultant affects its path.
[4 marks]E
Challenge & Extension
Tackle these more difficult questions to deepen your understanding.
1.
Vectors A = (x, y) and B = (2x, -3y) are such that their resultant is (0, 0). Find x and y, and discuss what this implies about the vectors.
[4 marks]2.
Given vectors (4, -1) and (a, b), the resultant is (7, 3). Find possible values of a and b, and explain your reasoning.
[4 marks]F
Mixed Review & Error Analysis
Identify errors in the following student solutions and correct them.
1.
Student's solution: Vectors (2, 3) + (4, 5) = (6, 8). Is this correct? If not, correct the mistake and explain.
[3 marks]2.
A student adds vectors (x, y) and (2, 3) and states the resultant is (x+2, y+3). Is this method correct? If not, identify the mistake.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet