Question

. IF A =2i + 2i + 3j & B= i + 3j + k then find A×B.

Answer 1

Answer:

A×B=4i+6j+k

I think this one help you

Answer 2

${\orange{ \boxed{ \boxed{ \begin{array}{cc} \sf \: Given, \\ \\ \sf \: \vec{A} =2 \hat{ i} +2 \hat{ j} + 3 \hat{ k } \\ \\ \sf \vec{B} = \hat{i }+3 \hat{j } + \hat{k} \\ \\ \bf \: we \: have \: to \: find \: : \: \: \: \sf \vec{A} \times \vec{B}\end{array}}}}} \: \\ \\ \\ Now, \: \\ \\ \small{ \boxed{ \begin{array}{cc} \sf \vec{A} \times \vec{B} = \begin{array}{ | ccc | } \sf \: \hat{i} \:& \sf\hat{j}& \sf \hat{k}\\ 2&2&3 \\ 1&3& 1\: \end{array} \\ \\ \\ = \sf \: \hat{i} \{2 \times 1 - 3\times3 \}- \hat{j} \{ 2\times 1 - 3 \times 1 \}+ \hat{k} \{2\times 3 - 2 \times 1\} \\ \\ \sf = \hat{i}( 2 - 9) - \hat{j}( 2 - 3 ) + \hat{k}(6 - 2) \\ \\ \sf = - 7 \hat{i} + \hat{j} + 4 \hat{k}\end{array} }}$