Question

Select the correct option from the given alternatives:

Let `bar"a" = hat"i" - hat"j", bar"b" = hat"j" - hat"k", bar"c" = hat"k" - hat"i".` If `bar"d"` is a unit vector such that `bar"a". bar"d" = 0 = [bar"b" bar"c" bar"d"]`, then `bar"d"` equals

Options

• `+- (hat"i" + hat"j" - 2hat"k")/sqrt6`

• `+- (hat"i" + hat"j" + hat"k")/sqrt3`

• `+-(hat"i" + hat"j" - hat"k")/sqrt3`

• `+-  hat"k"`

Answer 1

`+- (hat"i" + hat"j" - 2hat"k")/sqrt6`