If p, q, r in N, then the number of points having position vector `phati+qhatj+rhatk` such that `8lep+q+r le12` are

If P, Q, R are three points with respective position vectors hati + hatj, hati -hatj and a hati + b hatj + c hatk . The points P, Q, R are collinear, if

If P, Q, R are three points with respective position vectors hati + hatj, hati -hatj and a hati + b hatj + c hatk . The points P, Q, R are collinear, if

P,Q and R are three points with position vector i+j,i-j and ai +bj+ck respectively.if P,Q,R are collinear then

P(vec p) and Q(vec q) are the position vectors of two fixed points and R(vec r) is the position vectorvariable point.If R moves such that (vec r-vec p)xx(vec r-vec q)=0 then the locus of R is

If vec r_1, vec r_2, vec r_3 are the position vectors of the collinear points and scalar p a n d q exist such that vec r_3=p vec r_1+q vec r_2, then show that p+q=1.

If vec r_1, vec r_2, vec r_3 are the position vectors of the collinear points and scalar p a n d q exist such that vec r_3=p vec r_1+q vec r_2, then show that p+q=1.

If vec r_1, vec r_2, vec r_3 are the position vectors of the collinear points and scalar p a n d q exist such that vec r_1=p vec r_2+q vec r_3, then show that p+q=1.

If vec r_1, vec r_2, vec r_3 are the position vectors off thee collinear points and scalar pa n dq exist such that vec r_3=p vec r_1+q vec r_2, then show that p+q=1.