determine the value of vector a minus b into vector a + b
Answers
Answered by
2
Answer:
Answer:
See below.
Explanation:
Considering that
A
≠
0
and
B
≠
0
If
∥
A
+
B
∥
=
∥
A
−
B
∥
then
∥
A
+
B
∥
2
=
∥
A
−
B
∥
2
or
∥
A
∥
2
+
2
⟨
A
,
B
⟩
+
∥
B
∥
2
=
∥
A
∥
2
−
2
⟨
A
,
B
⟩
+
∥
B
∥
2
or simplifying
⟨
A
,
B
⟩
=
0
This means that the scalar product of
A
and
B
is null so the two vectors are orthogonal, and the angle between then is obtained knowing that
⟨
A
,
B
⟩
=
cos
(
ˆ
A
B
)
∥
A
∥
∥
B
∥
. Now supposing that
∥
A
∥
≠
0
and
∥
B
∥
≠
0
we have
cos
(
ˆ
A
B
)
=
⟨
A
,
B
⟩
∥
A
∥
∥
B
∥
=
0
so
ˆ
A
B
=
π
2xplanation:
Answered by
0
Answer:
A-B
Explanation:
that is
opposite of this
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