If the vectors p hati + hatj+ hatk, hati...

If the vectors `p hati + hatj+ hatk, hati i+ q hatj + hatk and hati + hatj + r hatk ( p ne q ne r ne 1)` are coplanar, then the value of pqr-`(p + q + r)` is :

A

`2`

B

`0`

C

`-1`

D

`-2.`

Verified by Experts

The correct Answer is:

D

VECTOR ALGEBRA
MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos
VECTOR ALGEBRA
MODERN PUBLICATION|Exercise Multiple Choice Question (Level-II)|38 Videos
UNIT TEST PAPER NO.3
MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

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

The vectors lamda hati + hatj + 2 hatk, hati + lamda hatj - hatk and 2 hati - hatj + lamda hatk are coplanar if :

If the vectors ahati+hatj+hatk,hati+bhatj+hatk and hati+hatj+chatk are coplanar (a ne b ne c ne 1) , then the value of abc - (a+b+c) =

Value of a for which 2 hati - hatj+1hatk , hati + 2 hatj - 3 hatk and 3 hati + a hatj + 5 hatk are coplanar is :

The vectors hati + 2 hatj + 3 hatk, lamda hati+ 4 hatj + 7 hatk,-3 hati - 2 hatj - 5 hatk are collinear if lamda is :

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

The vectors 2 hati - ahtj + hatk, hati -3 hatj - 5 hatj and sqrt3 hati - 4 hatj - 4 hatk are the sides of a triange, which is :

The vector veca = hati + hatj + (m + 1) hatk , vecb = hati + hatj + m hatk.vecc = hati - hatj + m hatk are coplanar for :