1.

If \[|\mathbf{a}|\,=3,\,\,|\mathbf{b}|\,=4\] then a value of l for which \[\mathbf{a}+\lambda \mathbf{b}\] is perpendicular to \[\mathbf{a}-\lambda \mathbf{b}\] is                                   [Karnataka CET 2004]

A.             \[\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\,\mathbf{j}+\mathbf{k}\]
B.             \[\frac{3}{4}\]
C.             \[\frac{3}{2}\]
D.             \[\frac{4}{3}\]
Answer» C.             \[\frac{3}{2}\]


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