Two particles of mass `1 kg and 3 kg` have position vectors `2 hat i+ 3 hat j + 4 hat k and -2 hat i+ 3 hat j - 4 hat k` respectively. The centre of mass has a position vector.

Two bodies of mass 1 kg and 3 kg have position vectors hat i+ 2 hat j + hat k and - 3 hat i- 2 hat j+ hat k , respectively. The centre of mass of this system has a position vector.

Two bodies of mass 1 kg and 3 kg have position vectors hat i+ 2 hat j + hat k and - 3 hat i- 2 hat j+ hat k , respectively. The centre of mass of this system has a position vector.

Two bodies of mass 1 kg and 3 kg have position vectors hat i+ 2 hat j + hat k and - 3 hat i- 2 hat j+ hat k , respectively. The centre of mass of this system has a position vector.

Two bodies of mass 1 kg and 3 kg have position vectors hat i+ 2 hat j + hat k and - 3 hat i- 2 hat j+ hat k , respectively. The centre of mass of this system has a position vector.

Two bodies of masses 2 kg and 3 kg have position vectors hat(i) + 2 hat (j) + hat(k) and -4hat(i)-3 hat(j) + 6 hat(k) respectively. The centre of mass of this system has a position vector.

Two blocks of mass 1kg and 3 kg have position v ectors hat(i) + 2 hat(j) + hat(k) and 3 hat(i) - 2 hat(j) + hat(k) , respectively . The center of mass of this system has a position vector.

Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on 7 hat i+ hat j- 3 hat k .

The unit vector in the direction of the sum of vectors hat i + hat j + hat k and 2 hat i + 3 hat j + 4 hat k is

Show that the points A, B, C with position vectors 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k respectively, are the vertices of a right angled triangle. Also, find the remaining angles of the triangle.

Find the angle between the vectors 2 hat(i) - hat(j) - hat(k) and 3 hat(i) + 4 hat(j) - hat(k) .