1.

The vector having magnitude equal to 3 and perpendicular to the two vectors \[\vec{A}=2\hat{i}+2\hat{j}+\hat{k}\] and \[\vec{B}=2\hat{i}-2\hat{j}+3\hat{k}\] is:

A. \[\pm \,(2\hat{i}-\hat{j}-2\hat{k})~~~\]
B.        \[\pm \,(3\hat{i}+\hat{j}-2\hat{k})\]
C. \[-\,(3\hat{i}+\hat{j}-3\hat{k})~\]
D.        \[(3\hat{i}-\hat{j}-3\hat{k})\]
Answer» B.        \[\pm \,(3\hat{i}+\hat{j}-2\hat{k})\]


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