If lā| = 3,|b|= 4 and |ā + b |= 5, then lā–b|=
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Answers
Answered by
28
Answer:
ANSWER
We have,
∣a+b∣
2
+∣a−b∣
2
=(a+b)(a+b)+(a−b)(a−b)
=a
2
+2ab+b
2
+a
2
−2ab+b
2
=2∣a∣
2
+2∣b∣
2
Therefore,
∣a+b∣
2
+∣a−b∣
2
5
2
+(a−b)
2
=2(3
2
+4
2
)
25+(a−b)
2
=50
⇒∣a−b∣
2
=25
⇒∣a−b∣=5
Hence,
Option B is the correct answer.
Answered by
1
Answer:
We have,
∣a+b∣2+∣a−b∣2=(a+b)(a+b)+(a−b)(a−b)=a2+2ab+b2+a2−2ab+b2=2∣a∣2+2∣b∣2
Therefore,
∣a+b∣2+∣a−b∣252+(a−b)2=2(32+42)
25+(a−b)2=50⇒∣a−b∣2=25⇒∣a−b∣=5
Step-by-step explanation:
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