Question

Let `bara = hati - hatj, barb = hatj - hatk, barc = hatk - hati.` If `bard` is a unit vector such that `bara * bard = 0 = [(barb, barc, bard)]`, then `bard` equals ______.

Options

• `+- (hati + hatj - 2hatk)/sqrt6`

• `+- (hati + hatj + hatk)/sqrt3`

• `+-(hati + hatj - hatk)/sqrt3`

• `+-  hatk`

Answer 1

Let `bara = hati - hatj, barb = hatj - hatk, barc = hatk - hati.` If `bard` is a unit vector such that `bara * bard = 0 = [(barb, barc, bard)]`, then `bard` equals `underlinebb(+- (hati + hatj - 2hatk)/sqrt6)`.