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  • 30-08-2020
  • Mathematics
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Find a unit vector that is orthogonal to both i + j and i + k.

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  • 30-08-2020

Answer: i - j - k

Step-by-step explanation:

Taking the cross product between two vectors will give you a third vector that is orthogonal(perpendicular) to both vectors.

<1,1,0> x <1,0,1>

[tex]det(\left[\begin{array}{ccc}i&j&k\\1&1&0\\1&0&1\end{array}\right] )[/tex]

the determinate of the matrix: <1,-(1),-1>

or: i - j - k

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