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SPM Add Math Form 5 Chapter 4 Vector
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CHAPTER 4 : VECTOR
1) Based on the diagram below, state the vectors which are equal
to the given vectors.
(a) b= (b) c= (c) e= (d) i= (e) k=
2) Construct the following vectors on the square grid below.
(a) 2a (b) 3a (c) a
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SPM Add Math Form 5 Chapter 4 Vector
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3) Based on the diagram below, find the value of k in each case,
where k is a constant.
(a) s= kr (b) r= kp (c) p= ks (d) p= kt (e) q= kt
4) Based on the diagram below, determine the vectors that are
parallel. Then, state their
relationships.
(a) and ________are parallel vectors. = _________
(b) and ________are parallel vectors.
= _________
(c) and ________are parallel vectors.
= _________
(d) and ________are parallel vectors.
= _________
(e) and ________are parallel vectors.
= _________
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SPM Add Math Form 5 Chapter 4 Vector
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5) Determine the resultant vector of each of the
following.(a)
p+ 2q+ 3p+ q (b) 2a+ 3b+
a +
b
6) Solve each of the following. Given that a and a .
(a) (b)
7) Determine the resultant vector of each of the following.
(a)ABCDE is a pentagon.
(i) a+ b=
(ii) c + d=
(iii)
(b) KLMN is a parallelogram.
(i) (ii) (iii) =(iv)
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SPM Add Math Form 5 Chapter 4 Vector
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8) Express each vector below in terms of a and b.
(a) In triangle OAB, M is the midpoint of OB. Given that aand b,
find
(i)
(ii)
(b) In triangle OAB, M is the midpoint of AB and P lies on OM
such that .
Given that a and b, find
(i)
(ii)
(iii)
9) In the diagram,ABCD is a parallelogram. Given = 12a and = 9b.
M lies onAD
such that .
(a) Express each of the following vectors, in terms of a and
b.
(i) (ii) (iii)
(b) If and express in terms of(i) k, aand b (ii) m, aand b
10) In the diagram, and represent vector 2a and 2b. Points C and
D are in the
positions such that
a+ 2b and = 2a+
b.
(a) Prove by vector method that is parallel to , then find the
ratio of CD: BA .(b) ODand AB intersect at E. If and find the value
of h and of k.
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17) In the diagram given,ABCD is a rectangle with = 12i, = 8j .
Given that =
.
(a) Find vectors , and in terms of iandj.(b) Find the length, in
cm, of the perpendicular distance fromAto BD, given the area of
triangleABD= 48 cm2 and = = 1 cm.
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