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.

Question

Grade 12Vectors

Jai Mahajan

12 Years agoGrade 12

Answer 1

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

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