Date | May 2014 | Marks available | 4 | Reference code | 14M.2.sl.TZ1.4 |
Level | SL only | Paper | 2 | Time zone | TZ1 |
Command term | Find | Question number | 4 | Adapted from | N/A |
Question
The following diagram shows two perpendicular vectors u and v.
Let w=u−v. Represent w on the diagram above.
Given that u=(321) and v=(5n3), where n∈Z, find \(n\).
Markscheme
METHOD 1
A1A1 N2
Note: Award A1 for segment connecting endpoints and A1 for direction (must see arrow).
METHOD 2
A1A1 N2
Notes: Award A1 for segment connecting endpoints and A1 for direction (must see arrow).
Additional lines not required.
[2 marks]
evidence of setting scalar product equal to zero (seen anywhere) R1
eg u ⋅ v =0, 15+2n+3=0
correct expression for scalar product (A1)
eg 3×5+2×n+1×3, 2n+18=0
attempt to solve equation (M1)
eg 2n=−18
n=−9 A1 N3
[4 marks]