If the position vectors of A,B,C and D are `2i+j,i-3j,3i+2j and i+lambda j` respectively and `bar(AB)||bar(CD)` ,then `lambda` will be

If the points whose position vectors are 3i-2j-k,2i+3j-4k,-i+j+2k and 4i+5j+lambda k lie on a plane then lambda is equal to (A)-(146)/(17) (B) (146)/(17) (C) -(17)/(146) (D) (17)/(146)

If the position vectors of A,B and C are respectively 2bar(i)-bar(j)+bar(k),bar(i)+3bar(j)-5bar(k) and 3bar(i)-4bar(j)-4bar(k) then cos^(2)A=

In a triangle ABC ,right angled at the vertex A ,if the position vectors of A, B and C are respectively 3bar(i)+bar(j)-bar(k), -bar(i)+3bar(j)+pbar(k) and 5bar(i)+qbar(j)-4bar(k), then the points (p,q) lies on a line

If the vectors lambda i-3j+5k and 2 lambda i-lambda j-k are perpendicular to each other find lambda

The points A, B and C with position vectors a=3i-4j-4k,b=2i-j+kandc=i-3j-5k , respectively are