When two vectors A ⃗ and B ⃗are perpendicular to each other then, A ⃗ × B ⃗=…………
Answers
Answered by
0
Explanation:
Given that:
∣
a
+
b
∣=∣
a
∣
To prove:
(2
a
+
b
).
b
=0
Since,
∣
a
+
b
∣=∣
a
∣
Squaring both sides ,we get
∣
a
+
b
∣
2
=∣
a
∣
2
⇒(
a
+
b
).(
a
+
b
)=∣
a
∣
2
⇒∣
a
∣
2
+∣
b
∣
2
+2
a
.
b
=∣
a
∣
2
⇒∣
b
∣
2
+2
a
.
b
=0
⇒(2
a
+
b
).
b
=0
Hence, 2
a
+
b
is perpendicular to
b
.
Answered by
0
Explanation:
Given ∣a∣=2∣b∣=2&a.b=4
Taking square
∣a−b∣2=(a−b).(a−b)=a.a−a.b−b.a+b.b=a.a−a.b−a.b+b.b=a.a−2a.b+b.b
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