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Question : 50 of 66
Marks:
+1,
-0
Solution:
We have
++ = 0 (1)
Taking cross-product by
on both sides of Eq. (1), we get
×(++) = 0
⇒
×+×++ = 0
0 +
×−× = 0 (2)
Taking cross-product by
on both sides of Eq. (1), we get
×(++) = 0
⇒
×+×+× = 0
⇒
−× + 0 +
× = 0
⇒
× =
× (3)
From Eqs. (2) and (3), we get
× =
× =
× ≠0
Alternative Method: Since
|| =
|| =
|| and
++ = 0,
, and
are coplanar unit vectors. Let
be a unit normal vector in the plane of
, and
, we get
× =
× =
× =
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