If the vectors hati-hatj, hatj+hatk and ...

If the vectors `hati-hatj, hatj+hatk and veca` form a triangle then `veca` may be (A) `-hati-hatk` (B) `hati-2hatj-hatk` (C) `2hati+hatj+hatjk` (D) `hati`+`hatk`

A

`-hati-hatk`

B

`hati-2hatj-hatk`

C

`2hatj+hatj+hatk`

D

`hati+hatk`

Verified by Experts

The correct Answer is:

A, B, D

`a=[+-(hati-hatj)+-(hatj+hatk)]`
`=+-(hati+hatk),+-(hati-2hatj-hatk)`

Similar Questions

Explore conceptually related problems

If the vectors 6hati-2hatj+3hatk, 2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is

Find the perimeter of a triangle with sides 3hati+4hatj+5hatk,4hati-3hatj-5hatk and 7 hati+hatj .

If a=2hati-hatj+2hatk and b=-hati+hatj-hatk , then find a+b.

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

Why is hati.hatj=hatj.hatk=hatk.hati=0

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

Find the angle theta between the vectors veca=hati+hatj-hatk and vecb=hati-hatj+hatk

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are complanar then m=