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# Dear sir pls help me solve this question.If A,B,C are any 3 vectors then show that - Avector cross (bvector +cvector)=Avector cross bvector+Avector cross C vector.

Grade:12

## 1 Answers

Apoorva Arora IIT Roorkee
askIITians Faculty 181 Points
7 years ago
This is a rule of cross product which all vectors follow
To prove the rule$A+(B\times C)=A\times B+A\times C$
you need to put
$A=a_{1}\hat{i}+a_{2}\hat{j}+a_{3}\hat{k}$
$B=b_{1}\hat{i}+b_{2}\hat{j}+b_{3}\hat{k}$
$C=c_{1}\hat{i}+c_{2}\hat{j}+c_{3}\hat{k}$
and just do the cross product with both the methods i.e. LHS and RHS and hence prove that both result in the same answer

Thanks and Regards
Apoorva Arora
IIT Roorkee
askIITians Faculty

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