If a,b,c are p,q and r terms are in H.P. and `vecu=(q-r)veci+(r-p)vecj+(p-q)veck` and `vecv=veci/a+vecj/b+veck/c` Then

If a,b,c be the pth, qth and rth term respectively of H.P. show that the vectors bc veci+pvecj+veck, ca veci+q vecj+veck and ab veci+r vecj+veck are coplanar.

If a, b,c are the pth, qth, and rth terms of a HP, then the vectors vecu= hati/a + hatj/b + hatk/c and vecv = ( q -r) hati + ( r-p) hatj + ( p-q) hatk

Statement 1 : veca = 3 veci + p vecj +3veck and vecb = 2veci + 3vecj + qveck are parallel vectors if p = 9//2 and q =2 . Statement 2 : If veca= a_1 veci + a_2 vecj + a_3 veck and vecb = b_1 veci + b_2 vecj + b_3veck are parallel, then (a_1)/(b_1) = (a_2)/(b_2)= (a_3)/(b_3) .

Statement 1 : veca = 3 veci + p vecj +3veck and vecb = 2veci + 3vecj + qveck are parallel vectors if p = 9//2 and q =2 . Statement 2 : If veca= a_1 veci + a_2 vecj + a_3 veck and vecb = b_1 veci + b_2 vecj + b_3veck are parallel, then (a_1)/(b_1) = (a_2)/(b_2)= (a_3)/(b_3) .

If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) + c(p - q) =

If the vectors veca=2veci-vecj+veck,vecb=veci+2vecj-3veck and vecc=3veci+pvecj+5veck are coplanar, then find p.

Position vectors of two points A and C re 9veci-vecj+7veci-2vecj+7veck respectively THE point intersection of vectors vec(AB)=4veci-vecj+3veck and vec(CD)=2veci-vecj+2veck is P. If vector vec(PQ) is perpendicular to vec(AB) and vec(CD) and PQ=15 units find the position vector of Q.

Position vectors of two points A and C re 9veci-vecj+7veci-2vecj+7veck respectively THE point intersection of vectors vec(AB)=4veci-vecj+3veck and vec(CD)=2veci-vecj+2veck is P. If vector vec(PQ) is perpendicular to vec(AB) and vec(CD) and PQ=15 units find the position vector of Q.