Answer
(a) |A|= 5.38 |B|=4.36
(b) a-b= -5.00 í+ 2.00 íîĵ + 7.00 k
(c) |A-B| = |B-A| = 8.83 ,have same magnitude , but in the opposite directions .
Work Step by Step
1)
(a)
|A|= $ \sqrt (-2.00)^{2} + (3.00)^{2} +(4.00)^{2}$
=5.38
|B|=$ \sqrt (3.00)^{2} + (1.00)^{2} +(-3.00)^{2}$
= 4.36
(b)
So,
A-B=(-2.00 -3.00) í + (3.00 - 1.00) j + ( 4.00 - (-3.00)) k
= - 5.00 í + 2.00 ĵ + 7.00k
(c)
|A-B|=$ \sqrt (-5.00)^{2} + (2.00)^{2} +(7.00)^{2}$
=8.83
B-A= (3.00 -(-2.00))í + (1.00 - 3.00 )ĵ + (-3.00 - 4.00) k
=5.00í - 2.00 ĵ - 7.00k
|B-A|=$ \sqrt (-5.00)^{2} + (-2.00)^{2} +(-7.00)^{2}$
Thus ,
Yes , The magnitude are equal .
|A-B| = |B-A| = 8.83 ,have same magnitude , but in the opposite directions .
