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Let \[\overrightarrow{a}=\widehat{i}+4\widehat{j}+2\widehat{k}\] , \[\overrightarrow{b}=3\widehat{i}-2\widehat{j}+7\widehat{k}\] and \[\overrightarrow{c}=2\widehat{i}-\widehat{j}+4\widehat{k}\]. Find a vector \[\overrightarrow{d}\] which is perpendicular to both \[\overrightarrow{a}\]and \[\overrightarrow{b}\], and \[\overrightarrow{c}.\overrightarrow{d}=15\]
Let \[\overrightarrow{a}=\widehat{i}+4\widehat{j}+2\widehat{k}\] , \[\overrightarrow{b}=3\widehat{i}-2\widehat{j}+7\widehat{k}\] and \[\overrightarrow{c}=2\widehat{i}-\widehat{j}+4\widehat{k}\]. Find a vector \[\overrightarrow{d}\] which is perpendicular to both \[\overrightarrow{a}\]and \[\overrightarrow{b}\], and \[\overrightarrow{c}.\overrightarrow{d}=15\]
CBSE | Class 12 | Maths | Miscellaneous | NCERT | Vector Algebra
Let \[\overrightarrow{a}=\widehat{i}+4\widehat{j}+2\widehat{k}\] , \[\overrightarrow{b}=3\widehat{i}-2\widehat{j}+7\widehat{k}\] and \[\overrightarrow{c}=2\widehat{i}-\widehat{j}+4\widehat{k}\]. Find a vector \[\overrightarrow{d}\] which is perpendicular to both \[\overrightarrow{a}\]and \[\overrightarrow{b}\], and \[\overrightarrow{c}.\overrightarrow{d}=15\]

Assume,

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