Let veca=hati-hatj, vecb=hatj-hatk, vecc...

Let `veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd` is a unit vector such that `veca.hatd=0=[vecb, vecc, vecd]` then hatd` equals (A) `+-(hati+hatj-2hatk)/sqrt(6)` (B) `+-(hati+hatj-hatk)/sqrt(3)` (C) `+-(hati+hatj+hatk)/sqrt(3)` (D) `+-hatk`

A

`+-(hati + hatj - 2hatk)/sqrt(6)`

B

`+-(hati + hatj - hatk)/sqrt(3)`

C

`+-(hati + hatj + hatk)/sqrt(3)`

D

`+-hatk`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Let veca=hati-hatj,vecb=hatj-hatk, vecc=hatk-hati . If hatd is a unit vector such that veca.hatd=0=[(vecb ,vecc, hatd)] , then hatd equals

If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati , a unit vector parallel to veca+vecb+vecc .

If veca = 2 hati - 3hatj, vecb = hati + hatj -hatk, vecc = 3hati - hatk, find [a vecb vecc]

Let veca = hati + hatj +hatjk, vecc =hatj - hatk and a vector vecb be such that veca xx vecb = vecc and veca.vecb=3 . Then |vecb| equals:

If veca=hati+hatj+hatk and vec=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

If veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk find a unit vector parallel to ther vector 2veca-vecb+3cevc .

If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.veca = 2 and veca xx vecc = vecb

Let veca=hati-hatj,vecb=hati+hatj+hatk and vecc be a vector such that vecaxxvecc+vecb=vec0 and veca.vecc=4 , then |vecc|^(2) is equal to: