If a = i +3 j -2 k and b =4 i -2 j +4 k , then (2 a + b ) . ( a – 2 b ) equals
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
If \(\vec{a}=\hat{i}+3 \hat{j}-2 \hat{k} \text { and } \vec{b}=4 \hat{i}-2 \hat{j}+4 \hat{k}\),
then (2\(\overrightarrow{\mathrm{a}}\) + \(\overrightarrow{\mathrm{b}}\)) . (\(\overrightarrow{\mathrm{a}}\) – 2\(\overrightarrow{\mathrm{b}}\)) equals
then (2\(\overrightarrow{\mathrm{a}}\) + \(\overrightarrow{\mathrm{b}}\)) . (\(\overrightarrow{\mathrm{a}}\) – 2\(\overrightarrow{\mathrm{b}}\)) equals
- 14
- –14
- 0
- none of these
Answer
(B) –14
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