If \[\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\,\mathbf{j}+\mathbf{k}\] and \[c=3\,\mathbf{i}+\mathbf{j},\] then \[\mathbf{a}+t\,\mathbf{b}\] is perpendicular to c if \[t=\] [MNR 1979; MP PET 2002]

If \[\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{

1.	If \[\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\,\mathbf{j}+\mathbf{k}\] and \[c=3\,\mathbf{i}+\mathbf{j},\] then \[\mathbf{a}+t\,\mathbf{b}\] is perpendicular to c if \[t=\] [MNR 1979; MP PET 2002]
A.	2
B.	4
C.	6
D.	8
Answer» E.

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If \[\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\,\mathbf{j}+\mathbf{k}\] and \[c=3\,\mathbf{i}+\mathbf{j},\] then \[\mathbf{a}+t\,\mathbf{b}\] is perpendicular to c if \[t=\] [MNR 1979; MP PET 2002]

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