Page 77 - Math SL HB Sem 2

3 The diagram below shows a line passing through the points (1,3) and (6, 5).

(6,5)

(1,3)

0

Find a vector equation for the line, giving your answer in the form

(;)=[;). is anv rearnumber'
'[1)'*** '

4. A vector equation for the line Z is r: (]).,
[i)

Which ofthe following are also vector equations for the same line Z?

A. ,:0",[?)

B .:
[i).,[:)

C ,:[:).,(])

.=(;).,[i)
D

5. Two Iines Z1 and 1,2 have these vector equations.

L1 :r=2i+3j+t(i-3j)
L2: t:i+2j+ s(i -i)

The angle between 11 and L2is 0. Find the cosine ofthe angle d