1. a) Obtain a unit vector perpendicular to the plane of the vectors
A i j k B i j kˆ 3
ˆ ˆ and ˆ 2
ˆ 4
ˆ = 3 − + = + +
r r
. (5)
b) For any four vectors a
r
,b
r
, c
r
and d
r
determine:
(a b)(c d) (b c)(a d) (c a)(b d)
r r r r r r r r r r r r
× . × + × . × + × . × .
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