Find two unit vectors orthogonal to a= and b= Enter your answer so that the first non-zero coordinate of the first vector is positive First Vector; second Vector;

Question

Find two unit vectors orthogonal to a=<-4, 3, 0> and b= <5, 5, -2> Enter your answer so that the first non-zero coordinate of the first vector is positive First Vector;<__, __, __> second Vector;<__, __, __>

anonymous · Answer

a x b = positive one, then *-1 to get negative one.

anonymous · Answer

so it would be <-20, 15, 0> and <20, -15, 0>?

anonymous · Answer

cross, not dot, you must do something like $$\begin{matrix}i&j&k\-4&3&0\5&5&-2\end{matrix}$$and then calculate axb to get a $\vec c = <  ,  ,  > $ that is the first one, then -1*$\vec c$ to get $-\vec c$ that is the second one

anonymous · Answer

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