Question

[
vec{A}-vec{B} cdot vec{A} cdot vec{A}, vec{B}^{a n g l} cdot b(n)
]
Maximum value of
[
begin{aligned}
|vec{A}-vec{B}| &=sqrt{|vec{A}|^{2}+|B|^{2}-2|vec{A}| mid vec{B}} mid sin theta
&[sin theta=-1|quad| vec{A}-vec{B} midtext { is maximum }
=& sqrt{left(left.A^{2}right|^{2}+|B|^{2}+2|vec{A}||vec{B}|right.}
&=|vec{A}|+|vec{B}|
end{aligned}
]

# 65. The maximum value of A - B is: a AB A+B DA d. VA2B2

Solution