The incentre of the triangle formed by the points `i+j+k, 4i+j+k, 4i+5j+k` is

The position vector of the centroid of the triangle formed by the points i + j + k, i - j + k, -i + j + k is

The vector area of the triangle formed by the points vec(i) -vec(j) + vec(k), 2vec(i) + vec(j) -2vec(k) and 3vec(i) + vec(j) + 2vec(k) is

The area of the triangle formed by the points whose position vectors are 3i + j 5i + 2j + k, I - 2j + 3k is

The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j + 4k, 4 (-I + j + k) is

The vector area of the triangle with vertices I + j + k, I + j + 2k, I + 2j + k is

The cartesian equation of the line passing through the points 2i + j + 3k, -4i + 3j - k is

The vector equation to the line passing through the points 2i + j + 3k, -4i + 3j - k is

The triangle formed by the three points whose position vectors are 2i + 4j -k , 4i +5j + k and 3i + 6j - 3k , is

If the position vectors of the vertices of a triangle are 2i - j + k, i - 3j - 5k, 3i - 4j - 4k then it is