If `i+j+k,2i+5j,3i+2j-3k,i-6j-k` respectively are the position vector of points A,B,C and D. Then
Deduce that `vec(AB)` parallel to `vec(CD)`.

If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of points A,B,C and D. Then find vec(AB) and vec(CD) .

If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of points A,B,C and D. Then find the angle between the vectors vec(AB) and vec(CD) .

Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i+3j+5k) Find vec(AB) and vec(BC) .

The position vectors of three points A,B,C are given to be i+3j+3k , 4i+4k , -2i+4j+2k respectively.Find vec(AB) and vec(AC)

Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i+3j+5k) . Prove that A,B and C are collinear points.

The position vectors of three points A,B,C are given to be i+3j+3k , 4i+4k , (-2i+4j+2k respectively Find a vector which is perpendicular to both vec(AB) and vec(AC) having magnitude 9 units.

The position vectors of three points A,B,C are given to be i+3j+3k , 4i+4k , -2i+4j+2k respectively.Find the angle between vec(AB) and vec(AC)

Find the projection of a vector i+3j+7k on the vector 7i-j+8k .

The angle between the vectors i+j and j+k is

Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+k .