A
ABC is an isosceles triangle,
⃗⃗⃗⃗⃗ = 𝒂 and ⃗⃗⃗⃗⃗
M is the midpoint of CB,𝐴𝐵
𝐴𝐶 = 𝒃
a)
b)
Find ⃗⃗⃗⃗⃗
𝐵𝐶 in terms of a and b.
Find ⃗⃗⃗⃗⃗⃗
𝐴𝑀 in terms of a and b.
b
=
a
=
B
=/
b
C
M
a)
b)
Find ⃗⃗⃗⃗⃗
𝐵𝐶 in terms of a and b
⃗⃗⃗⃗⃗
𝐵𝐶 = ⃗⃗⃗⃗⃗
𝐵𝐴 + ⃗⃗⃗⃗⃗
𝐴𝐶
⃗⃗⃗⃗⃗
𝐵𝐶 = −𝒂 + 𝒃
Find ⃗⃗⃗⃗⃗⃗
𝐴𝑀 in terms of a and b.
⃗⃗⃗⃗⃗⃗
𝐴𝑀 = ⃗⃗⃗⃗⃗
𝐴𝐵 + ⃗⃗⃗⃗⃗⃗
𝐵𝑀
1
= ⃗⃗⃗⃗⃗
𝐴𝐵 + ⃗⃗⃗⃗⃗
𝐵𝐶
2
1
= 𝒂 + (−𝒂 + 𝒃)
2
1
1
=𝒂− 𝒂+ 𝒃
2
2
1
1
⃗⃗⃗⃗⃗⃗
𝐴𝑀 = 𝒂 + 𝒃
2
2
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