If \[\vec{a}=2\hat{i}+2\hat{j}+3\hat{k},\vec{b}=-\hat{i}+2\hat{j}+\hat{k}\] and \[\overrightarrow{c}=3\hat{i}+\hat{j}\]are three vectors such that \[\vec{a}+t\vec{b}\] is perpendicular to \[\vec{c}\], then what is t equal to?

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

1.	If \[\vec{a}=2\hat{i}+2\hat{j}+3\hat{k},\vec{b}=-\hat{i}+2\hat{j}+\hat{k}\] and \[\overrightarrow{c}=3\hat{i}+\hat{j}\]are three vectors such that \[\vec{a}+t\vec{b}\] is perpendicular to \[\vec{c}\], then what is t equal to?
A.	8
B.	6
C.	4
D.	2
Answer» B. 6

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If \[\vec{a}=2\hat{i}+2\hat{j}+3\hat{k},\vec{b}=-\hat{i}+2\hat{j}+\hat{k}\] and \[\overrightarrow{c}=3\hat{i}+\hat{j}\]are three vectors such that \[\vec{a}+t\vec{b}\] is perpendicular to \[\vec{c}\], then what is t equal to?

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