If \[\vec{a}=\vec{i}+2\hat{j}-3\hat{k}\] and \[\vec{b}=3\hat{i}-\hat{j}+\lambda \hat{k},\] and \[(\vec{a}+\vec{b})\] is perpendicular to \[\vec{a}-\vec{b}\], then what is the value of \[\lambda \]?

If \[\vec{a}=\vec{i}+2\hat{j}-3\hat{k}\] and \[\vec{b}=3\hat

1.	If \[\vec{a}=\vec{i}+2\hat{j}-3\hat{k}\] and \[\vec{b}=3\hat{i}-\hat{j}+\lambda \hat{k},\] and \[(\vec{a}+\vec{b})\] is perpendicular to \[\vec{a}-\vec{b}\], then what is the value of \[\lambda \]?
A.	-2 only
B.	\[\pm 2\]
C.	3 only
D.	\[\pm 3\]
Answer» C. 3 only

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If \[\vec{a}=\vec{i}+2\hat{j}-3\hat{k}\] and \[\vec{b}=3\hat{i}-\hat{j}+\lambda \hat{k},\] and \[(\vec{a}+\vec{b})\] is perpendicular to \[\vec{a}-\vec{b}\], then what is the value of \[\lambda \]?

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