| Date | None Specimen | Marks available | 1 | Reference code | SPNone.2.sl.TZ0.4 |
| Level | SL only | Paper | 2 | Time zone | TZ0 |
| Command term | Write down | Question number | 4 | Adapted from | N/A |
Question
Consider the lines L1 , L2 , L2 , and L4 , with respective equations.
L1 : (xyz)=(123)+t(3−21)
L2 : (xyz)=(123)+p(321)
L3 : (xyz)=(010)+s(−12−a)
L4 : (xyz)=q(−64−2)
Write down the line that is parallel to L4 .
[1]
a.
Write down the position vector of the point of intersection of L1 and L2 .
[1]
b.
Given that L1 is perpendicular to L3 , find the value of a .
[5]
c.
Markscheme
L1 A1 N1
[1 mark]
a.
(123) A1 N1
[1 mark]
b.
choosing correct direction vectors A1A1
e.g. (3−21) , (−12−a)
recognizing that {\boldsymbol{a}} \bullet {\boldsymbol{b}} = 0 M1
correct substitution A1
e.g. - 3 - 4 - a = 0
a = - 7 A1 N3
[5 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
