The vector equation `vecr=hati-2hatj-hatk+ t(6hatj - hatk)` represents a straight line passing through the points

The vector equation barr=hati-2hatj-hatk+t(6hatj-hatk) , represents a line passing through points

Find the acute angle between the lines vecr=(hati+2hatj+4hatk)+t(2hati+2hatj+hatk) and the straight passing through the points (5, 1, 4) and (9,2, 12).

The distance of the point having position vector -hati+ 2 hatj + 6 hatk from the straight line passing through the point (2,3,-4) and parallel to the vector, 6 hati+ 3 hatj -4 hatk is :

The solution vectors vecr of the equation vecr xx hati=hatj+hatk and vecr xx hatj=hatk+hatj represent two straight lines which are :

The solution vectors vecr of the equation vecr xx hati=hatj+hatk and vecr xx hatj=hatk+hatj represent two straight lines which are :

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 and vecr.(hatj+2hatk)=0 and also passing through the point 2hati+hatj-hatk .

Equation of a plane passing through the intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2 and passing through the point (hati+2hatj-hatk) is :