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)`

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)

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.

Let veca=2i-j+2k and vecb=6i+2j+3k Find the angle between veca and vecb .

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

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

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) .

Find the angle between the vectors veca=2i+j-k and vecb=i-j+k .

If the projection of the vectors vec a on vec b is |vec a times vec b| and if 3 vec b= hat i+ hat j+ hat k then the angle between vec a and vec b is a) pi//3 b) pi//2 c) pi//4 d) pi//6

Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k .Find the angle between veca and vecb .

The position vectors of the points A,B,C are given to be 2overset^^i+overset^^j-overset^^k,overset^^3i-overset^^2j+overset^^k"and" 1overset^^i+4overset^^j-3overset^^k respectively.Prove that A,B,C are collinear