Let {a^{\to}}=2 \stackrel{\^}{i}+\stackrel{\^}{j}+2 \stackrel{\^}{k} and {b^{\to}}=\stackrel{\^}{i}-\stackrel{\^}{j}+2 \stackrel{\^}{k} and \overrightarrow{c}=\stackrel{\^}{i}+\stackrel{\^}{j}-2 \stackrel{\^}{k} are three vectors. Then a vector in the plane of a \& c whose projection on \overrightarrow{b} is of magnitude {1}/{\\sqrt{6} is

3 \stackrel{\^}{i}-2 \stackrel{\^}{j}

3 \stackrel{\^}{i}+2 \stackrel{\^}{j}

2 \stackrel{\^}{i}+3 \stackrel{\^}{j}-\stackrel{\^}{k}

3 \stackrel{\^}{i}+2 \stackrel{\^}{j}+\stackrel{\^}{k}

NIMCET 2021 Question Paper with solutions

Question : 9 of 120

Marks: +1, -0

Let

{a↖{→}}=2 {i}↖{\^}+{j}↖{\^}+2 {k}↖{\^}

and

{b↖{→}}={i}↖{\^}-{j}↖{\^}+2 {k}↖{\^}

and

{c}↖{→}={i}↖{\^}+{j}↖{\^}-2 {k}↖{\^}

are three vectors. Then a vector in the plane of

a\ \&\ c

whose projection on

{b}↖{→}

is of magnitude

{1}/{\√{6}}

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