22. Ē is resultant of A and B. Q is resultant of A and (-), the value of |P12 + Q2 would be + (1) 2B2 (2) 2a² (3) 2(A2 - B2) - (4) 2(A2 + B2)
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Answer:
Correct option is A)
Let θ be angle between
A
and
B
.∴ Resultant of
A
and
B
is
P=
A
2
+B
2
+2ABcosθ
---(i)
When
B
is reversed, then the angle between
A
and -
B
is (180
∘
- θ).Resultant of
A
and -
B
is
Q =
A
2
+B
2
+2ABcos(180
∘
−θ)
Q =
A
2
+B
2
+2ABcosθ
--(ii)
Squaring and adding (i) and (ii), we getP
2
+Q
2
=2(A
2
+B
2
)
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