Find the equation of the line passing through point `2hati-hatj+3hatk` and parallel to vector `hati+hatj-2hatk` in vector form as well as Cartesian form.

Find the vector equation of a line passes through the point hati+3hatj+hatk and parallel to vector 3hati-2hatj+k .

Find the equation of a line passing through the point (2,-3,5) and parallel to vector (3hati+2hatj-hatk) .

The equation of a line passing through the point (4,-2,5) and parallel to the vector 3hati -hatj + 2hatk is

Findthe equation of the line passing through points hati-2hatj+hatk and -2hatj+3hatk in vector form and Cartesian form.

Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

Find the vector equation of the line passing through the point 2 hati + hatj - 3 hatk and perpendicular to the vectors hati + hatj + hatk and hati + 2 hatj - hatk .

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

The cartesian equation of a line passing through the point (3,2,1) and is parallel to the vector 2hati + 2hatj - 3hatk is

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .