Physics, asked by hayatkhan19022005, 3 months ago

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

Answers

Answered by karthikreddy4559
0

Answer:

A×B=4i+6j+k

I think this one help you

Answered by TrustedAnswerer19
19

{\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} }}

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