What is a vector of unit length orthogonal to both the vectors \[\hat{i}+\hat{j}+\hat{k}\] and\[2\hat{i}+3\hat{j}-\hat{k}\]?

\[\frac{-3\hat{i}+2\hat{j}-\hat{k}}{\sqrt{14}}\]

\[\frac{-4\hat{i}+3\hat{j}-\hat{k}}{\sqrt{26}}\]

\[\frac{-4\hat{i}+3\hat{j}+\hat{k}}{\sqrt{26}}\]

\[\frac{-3\hat{i}+2\hat{j}+\hat{k}}{\sqrt{14}}\]

What is a vector of unit length orthogonal to both the vectors \[\hat{

1.	What is a vector of unit length orthogonal to both the vectors \[\hat{i}+\hat{j}+\hat{k}\] and\[2\hat{i}+3\hat{j}-\hat{k}\]?
A.	\[\frac{-4\hat{i}+3\hat{j}-\hat{k}}{\sqrt{26}}\]
B.	\[\frac{-4\hat{i}+3\hat{j}+\hat{k}}{\sqrt{26}}\]
C.	\[\frac{-3\hat{i}+2\hat{j}-\hat{k}}{\sqrt{14}}\]
D.	\[\frac{-3\hat{i}+2\hat{j}+\hat{k}}{\sqrt{14}}\]
Answer» C. \[\frac{-3\hat{i}+2\hat{j}-\hat{k}}{\sqrt{14}}\]

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What is a vector of unit length orthogonal to both the vectors \[\hat{i}+\hat{j}+\hat{k}\] and\[2\hat{i}+3\hat{j}-\hat{k}\]?

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