Let I =3 i +2 j +2 k and b = i +2 j -2 k be two vectors. If a vector perpendicular to…
Mathematics · JEE Main · NTA Exams — Vector Algebra
Let \(\overrightarrow{\mathbf{I}}=3 \hat{i}+2 \hat{j}+2 \hat{k} \text { and } \vec{b}=\hat{i}+2 \hat{j}-2 \hat{k}\) be two vectors. If a vector perpendicular to both the vectors \(\overrightarrow{\vec{a}}+\overrightarrow{\vec{b}} \text { and } \overrightarrow{\vec{a}}-\overrightarrow{\vec{b}}\) has the magnitude 12 then one such vector is:
- \(4(2 \hat{i}-2 \hat{j}-\hat{k})\)
- \(4(-2 \hat{i}-2 \hat{j}+\hat{k})\)
- \(4(2 \hat{i}+2 \hat{j}+\hat{k})\)
- \(4(2 \hat{i}+2 \hat{j}-\hat{k})\)
Answer
(A) 4(2 i -2 j - k )
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