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Question
Mathematics
Let veca and vecb be two vectors such that | veca|=√14,| vecb|=√6 and | veca × vecb|=√48. Then ( veca ⋅ vecb)2 is equal to
Q. Let
a
and
b
be two vectors such that
∣
a
∣
=
14
,
∣
b
∣
=
6
and
∣
a
×
b
∣
=
48
. Then
(
a
⋅
b
)
2
is equal to
233
135
JEE Main
JEE Main 2023
Vector Algebra
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Answer:
36
Solution:
∣
a
∣
=
14
,
∣
b
∣
=
6
∣
a
×
b
∣
=
48
∣
a
×
b
∣
2
+
∣
a
⋅
b
∣
2
=
∣
a
∣
2
×
∣
b
∣
2
⇒
(
a
⋅
b
)
2
=
84
−
48
=
36