1Vectors (Chapter 11) 283NEGATIVE VECTORS
¡!
AB and
¡!
BA have the same length, but they have opposite directions.We say that¡!
BA is thenegativeof¡!
AB, and write¡!
BA=¡¡!
AB.In the diagram we see the vectora=μ
2
3¶
and its negative¡a=μ
¡ 2
¡ 3¶
.If a=μ
a 1
a 2¶
then ¡a=μ
¡a 1
¡a 2¶
.EXERCISE 11A
Write the illustrated vectors in component form and in unit vector form:
abcde f2 Write each vector in unit vector form, and illustrate it using an arrow diagram:aμ
3
4¶
bμ
2
0¶
cμ
2
¡ 5¶
dμ
¡ 1
¡ 3¶3aFind in component form and in unit vector form:
i¡!
AB ii¡!
BA iii¡!
BC
iv¡!
DC v¡!
AC vi¡!
DE
b Which two vectors inaare equal? Explain your answer.
c Which two vectors in aare negatives? Explain your
answer.aaand are parallel
and equal in length,
but opposite in direction.¡AB
¡!
AB¡!
BAa -a23-3-2A BD CE4037 Cambridge
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Y:\HAESE\CAM4037\CamAdd_11\283CamAdd_11.cdr Thursday, 23 January 2014 1:29:51 PM BRIAN