Let \[\mathbf{b}=3\mathbf{j}+4\mathbf{k},\,\,\mathbf{a}=\mathbf{i}+\mathbf{j}\] and let \[{{\mathbf{b}}_{1}}\] and \[{{\mathbf{b}}_{2}}\] be component vectors of b parallel and perpendicular to a. If \[{{\mathbf{b}}_{1}}=\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}\], then \[{{\mathbf{b}}_{2}}=\] [MP PET 1989]

\[-\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}\]

\[\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}+4\mathbf{k}\]

\[-\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}+4\mathbf{k}\]

Let \[\mathbf{b}=3\mathbf{j}+4\mathbf{k},\,\,\mathbf{a}=\mathbf{i}+\ma

1.	Let \[\mathbf{b}=3\mathbf{j}+4\mathbf{k},\,\,\mathbf{a}=\mathbf{i}+\mathbf{j}\] and let \[{{\mathbf{b}}_{1}}\] and \[{{\mathbf{b}}_{2}}\] be component vectors of b parallel and perpendicular to a. If \[{{\mathbf{b}}_{1}}=\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}\], then \[{{\mathbf{b}}_{2}}=\] [MP PET 1989]
A.	\[\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}+4\mathbf{k}\]
B.	\[-\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}+4\mathbf{k}\]
C.	\[-\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}\]
D.	None of these
Answer» C. \[-\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}\]

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