Find the vector equation of the line through the points `2veci+vecj-3veck ` and parallel to vector `veci+2vecj+veck`

Find the equation of the plane through the point 2veci+3vecj-veck and perpendicular to the vector 3veci-4vecj+7veck .

Find the equation of the plane through the point 2veci-vecj+veck and perpendiulr to the vector 4veci+2vecj-3veck . Determine the perpendicular distance of this plane from the origin.

Find the equation of the plane through the 2veci+3vecj-veck and perpendicular to the vector 3veci+2vecj-2veck . Determine the perpendicular distance of this plane from the origin.

Find the direction cosines of the line (x+2)/2=(2y-7)/6=(1-z)/(-3) . Also, find the vector equation of the line through the point A(-1,\ 2,\ 3) and parallel to the given line.

Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Also, find the vector equation of the line through the point A(-1,2,3) and parallel to the given line.

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

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

Find the vector equation of a line through the point (5, 2, -4) and which is parallel to the vector 3 hat(i) + 2 hat(j) - 8hatk ?

Find the vector equation for the line which passes through the point (1, ,2 3) and parallel to the vector hat i-2 hat j+3 hat kdot reduce the corresponding equation in the Cartesian from.

Find the vector equation of the line passing through the point (1,2,3) and parallel to the vector 3hat(i) + lamda hat(j) - 2hat(k) .