Write the projection of the vector (\overrightarrow{b}+\overrightarrow{c}) on the vector \overrightarrow{a}, where \overrightarrow{a}=2 \stackrel{\^}{i}-2 \stackrel{\^}{j}+\stackrel{\^}{k}, \overrightarrow{b}=\stackrel{\^}{i}+2 \stackrel{\^}{j}-2 \stackrel{\^}{k} and \overrightarrow{c}=2 \stackrel{\^}{i}-\stackrel{\^}{j}+4 \stackrel{\^}{k}

CBSE Class 12 Math 2022 (Term II) Outside Delhi Set 1 Solved ...

Question : 3 of 14

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Write the projection of the vector

({b}↖{→}+{c}↖{→})

on the vector

{a}↖{→}

, where

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

and

{c}↖{→}=2 {i}↖{\^}-{j}↖{\^}+4 {k}↖{\^}

Solution:

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