Hint
Use the stated units and precision. Add the horizontal displacement to the original x-coordinate.
Worked solution
(a)
Add the horizontal displacement to the original x-coordinate.
Add horizontal component 6 to -3 to get 3.
Answer: \(3\)
(b)
Preserve the sign of the vertical displacement.
Add vertical component -2 to 1 to get -1.
Answer: \(-1\)
(c)
Use the identical vector at every point of the figure.
Apply the same horizontal shift to Q: 5.
Answer: \(5\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Add the horizontal displacement to the original x-coordinate.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Preserve the sign of the vertical displacement.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Use the identical vector at every point of the figure.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.