Processing math: 100%

User interface language: English | Español

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=uv. Represent w on the diagram above.

[2]
a.

Given that u=(321) and v=(5n3), where nZ, find \(n\).

[4]
b.

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]

a.

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]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 4 - Vectors » 4.2 » The scalar product of two vectors.
Show 29 related questions

View options