Page 79 - Math SL HB Sem 2

PAPER 2 (Vf,CTOR MATHS SL)

I Line Z; passes through points A(1, -1, 4) and B(2, -2,5).

(a) Find aE.
(2)

(b) Find an equation for Z1 in the form r = a * tb.
(2)

Line Z2 has equation I = [;l.J?l

I,J [,J

(c) Find the angle between Z1 and 22.
(7)

(d) The lines Ll and L2 intersect at point C. Find the coordinates ofC.
(6)
(Total l7 marks)
(z\ ( k\
I-"" = = | - z fo, t, 0. The angle berween v and p I
"'a ' l, is
[-:.J [o.J 3
Find the value of k.
(Total 7 marks)

-
Let v = 3 i + 4 j + k and w = i + 2 j 3*. The vector v +pw is perpendicular to r,.
Find the value ofp.
(Total T marks)

o The diagrarn shows a parallelograrn ABCD.

aliagram nol lo scale

The coordinates ofA, B and D are A(1, 2,3),8(6,4,4) and D(2, 5, 5).

lB Questionbank Maths SL
1