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amid [387]
3 years ago
14

Find two unit vectors orthogonal to a=⟨2,−2,−3⟩a=⟨2,−2,−3⟩ and b=⟨3,2,2⟩b=⟨3,2,2⟩ enter your answer so that the first non-zero c

oordinate of the first vector is positive.
Mathematics
1 answer:
Ronch [10]3 years ago
8 0
We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i    j   k
2 -2 -3
3  2  2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.
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