The distance of the point having position vector `-hat(i) + 2hat(j) + 6hat(k)` from the straight line passing through the point `(2, 3, –4)` and parallel to the vector, `6hat(i) + 3hat(j) -4hat(k)` is:

The distance of point B with position vector hat i+2hat j+3hat k from the line passing through the point with position vector 4hat i+2hat j+2hat k and parallel to the vector 2hat i+3hat j+6hat k is :

The distance of point B with position vector hat i+2hat j+3hat k from the line passing through the point with position vector 4hat i+2hat j+2hat k and parallel to the vector 2hat i+3hat j+6hat k is :

The vector equation vec r=hat i-2hat j-hat k+t(6hat j-hat k) represents a straight line passing through the points

The vector equation vec(r)=(hat(i)-2hat(j)-hat(k))+t(6hat(j)-hat(k)) represents a straight line passing through the points

Find the vector equation of a line passing through the point with position vector 2hat(i) + hat(j) - hat(k) and parallel to the line joining the points - hat(i) + hat(j) + 4 hat(k) and hat(i) + 2 hat(j) + 2 hat(k) .

Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector 4hat(i)+3hat(j)-7hat(k)" and parallel to the vector "2hat(i)-6hat(j)+7hat(k).