Find |\overrightarrow{a}| and |\overrightarrow{b}|, if |\overrightarrow{a}|=2|\overrightarrow{b}| and (\overrightarrow{a}+\overrightarrow{b}) \cdot(\overrightarrow{a}-\overrightarrow{b})=12. OR Find the unit vector perpendicular to each of the vectors \overrightarrow{a}=4 \stackrel{\^}{i}+3 \stackrel{\^}{j}+\stackrel{\^}{k} and \overrightarrow{b}=2 \stackrel{\^}{i}-\stackrel{\^}{j}+2 \stackrel{\^}{k}.

CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

Question : 24 of 36

Marks: +1, -0

Find

|{a}↖{→}|

and

|{b}↖{→}|

, if

|{a}↖{→}|=2|{b}↖{→}|

and

({a}↖{→}+{b}↖{→}) ⋅({a}↖{→}-{b}↖{→})=12

.
OR
Find the unit vector perpendicular to each of the vectors

{a}↖{→}=4 {i}↖{\^}+3 {j}↖{\^}+{k}↖{\^}

and

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

Solution:

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