Question

If i cap jcap and k cap are unit vector along three mutually perpendicular directions then i cap . J cap = 1 and..

Answer 1

The complete question is,

If i cap jcap and k cap are unit vector along three mutually perpendicular directions then i cap . J cap = 1 and. (i−j).{(j−k)×(k−i)}=

Given

( i − j ) . { ( j − k ) × ( k − i ) }

= ( i − j ) . ( j × k − j × i − k × k + k × i )

= ( i − j ) ( i + k − 0 + j )

= i . i + i . k + i . j − j . i − j . k − j . j

= i²  + 0 + 0 − 0 − 0 − j²

= i² − j²

= 1 − 1

= 0

∴ ( i − j ) . { ( j − k ) × ( k − i ) } = 0

Answer 2

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