Consider the set of eight vector `V={a hat i+b hat j+c hat k ; a ,bc in {-1,1}}dot` Three non-coplanar vectors can be chosen from `V` is `2^p` ways. Then `p` is_______.

Consider the set of eight vector V={ahat i+bhat j+chat k;a,bc in{-1,1}} Three non-coplanar vectors can be chosen from V is 2^(p) ways.Then p is

For what value of p, is (hat i+hat j+hat k)p a unit vector?

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j) , the unit vector coplanar with the two vectors and perpendicular to first is

Given three coplanar vectors vec A = 2 hat I - hat j , magnitude of the sum of three vectors.

If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n dc hat i+2a hat j+b hat k are coplanar vectors and a ,b!=c in R , then straight lines a x+b y+c=0 always pass through: (1,2) b. (2-1) c. (2,1) d. (1,-2)

Two vectors P=2hat I +bhat j +2hat k and Q=hat i+hat j+hat k will be parallel if :

If vec V_(1)=hat i+hat j+hat k;vec V_(2)=ahat i+bhat j+chat k where a,b,c in{-2,-1,0,1,2} then the number of non-zero vectors vec V_(2) which perpendicular to (vec V_(1))/(18) is

The unit vector which is orthogonal to the vector 3hat i+2hat j+6hat k and is coplanar with the vectors 2hat i+hat j+hat k and hat i-hat j+hat k is