The vectors **a** and **b** are shown - HSC - SSCE Mathematics Extension 1 - Question 6 - 2020 - Paper 1
Question 6
The vectors **a** and **b** are shown.
Which diagram below shows the vector **v** = **a** - **b**?
A.
B.
C.
D.
Worked Solution & Example Answer:The vectors **a** and **b** are shown - HSC - SSCE Mathematics Extension 1 - Question 6 - 2020 - Paper 1
Identify the vector operation
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
The operation v = a - b suggests we need to find the resultant vector starting from the head of vector b towards the tail of vector a.
Analyze the vector direction
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Since we are subtracting vector b from vector a, the resultant vector v will point in the direction of a and away from the end of vector b.
Compare with given diagrams
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Looking at the diagrams provided,
- Diagram A positions a and b incorrectly.
- Diagram B misrepresents the direction of v.
- Diagram C shows the vectors incorrectly.
- Diagram D properly positions v starting from the tail of b and pointing towards the head of a, accurately reflecting v = a - b.
Select the correct diagram
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
The correct diagram that represents the vector v = a - b is D.
Join the SSCE students using SimpleStudy...
97% of StudentsReport Improved Results
98% of StudentsRecommend to friends
100,000+ Students Supported
1 Million+ Questions answered