Consider three vectors `p=i+j+k, q=2i+4j-k and r=i+j+ 3k` . If p, q and r denotes the position vector of three non-collinear points then plane containing these points is

Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k . If p, q and r denotes the position vector of three non-collinear points, then the equation of the plane containing these points is

Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k . If p, q and r denotes the position vector of three non-collinear points, then the equation of the plane containing these points is

Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k . If p, q and r denotes the position vector of three non-collinear points, then the equation of the plane containing these points is

Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k . If p, q and r denotes the position vector of three non-collinear points, then the equation of the plane containing these points is

If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of the points of trisection are

If P = 2i + 3j - 4k and Q = 5i + 2j + 4k find the angle between the two vectors

The position vector of a point laying on the line joining the points whose position vectors are i+j-k and i-j+k is

If the position vector of P,Q are I + j + k and I + 4j + 7k respectively then the position vector of the point which divides overline (PQ) in the ratio 2 : 1 is

Consider three vectors p=hat(i)+hat(j)+hat(k), q=2hat(i)+4hat(j)-hat(k) and r=hat(i)+hat(j)+3hat(k) and let s be a unit vector, then Q. The magnitude of the vector (p*s)(qtimesr)+(q*s)(r xx p)+(r*s)(ptimesq) is