if u= a+b , v=a-b ,|a|=|b|=2 then|uxv|=
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ryiuotuksuksurutuetuuooetuei
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MATHS
If
u
=
a
−
b
;
v
=
a
+
b
&
a
=
b
=2, then ∣
u
×
v
∣ is equal to:
January 17, 2020
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Bhavya Karkera
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ANSWER
∣
a
∣=
∣
∣
∣
∣
b
∣
∣
∣
∣
=2
∣
u
×
v
∣
u
×
v
=(
a
−
b
)×(
a
+
b
)
=
a
×(
a
+
b
)−
b
×(
a
+
b
)
=
a
×
a
+
a
×
b
−[
b
×
a
+
b
×
b
]
=
a
×
b
−
b
×
a
u
×
v
=2(
a
×
b
)
∣
u
×
v
∣=2
∣
∣
∣
∣
a
×
b
∣
∣
∣
∣
(∣
u
×
v
∣)
2
=∣u∣
2
∣v∣
2
−(u.v)
2
∣
u
×
v
∣=
∣u∣
2
∣v∣
2
−(u.v)
2
=2
∣a∣
2
∣b∣
2
−(a.b)
2
=2
(2)
2
(2)
2
−(a.b)
2
=2
16−(a.b)
2
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