In a right-handed Cartesian coordinate system | vedclass

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Question

(A) In a right-handed Cartesian coordinate system,the unit vectors $\hat i, \hat j, \hat k$ follow the cyclic order $\hat i 	imes \hat j = \hat k$,$\

Vedclass · Accepted Answer

$\hat j 	imes \hat k = \hat i$

Vedclass · Answer

(A) In a right-handed Cartesian coordinate system,the unit vectors $\hat i, \hat j, \hat k$ follow the cyclic order $\hat i 	imes \hat j = \hat k$,$\hat j 	imes \hat k = \hat i$,and $\hat k 	imes \hat i = \hat j$.For option $A$: $\hat j 	imes \hat k = \hat i$ is correct.For option $B$: $\hat i \cdot \hat i = 1$ (not $0$).For option $C$: $\hat j 	imes \hat j = 0$ (not $1$).For option $D$: $\hat k \cdot \hat j = 0$ (since they are orthogonal,not $1$).Therefore,option $A$ is the correct relation.

In a right-handed Cartesian coordinate system,which of the following relations is correct?

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