Find the equation of the line in vector and in Cartesian form that passes through the point with position vector and `2hat(i)-hat(j)+4hat(k)` is in the direction `hat(i)+2hat(j)-hat(k)`.

Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2hat i-hat j+4hat k and is in the direction hat i+2hat j-hat k

Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2 hat i- hat j+4 hat k and is in the direction hat i+2 hat j- hat k .

Find the vector and cartesion equation of the line through the point with position vector 2hat(i)-hat(j)+3hat(k) and in the direction of hat(i)+2hat(j)-hat(k)

Find the Cartesian equation of a line which passes through the point having position vector (2hat(i) -hat(j) + 4hat(k)) and is in the direction of the vector , (hat(i) +2hat(j) -hat(k))

Find the vector equation of a line which passes through the point with position vector hat(i)-2hat(j)+4hat(k) and is in the direction of hat(i)+2hat(j)-hat(k) . Also, reduce it to cartesian from.

What is the projection of the vector hat(i)-2hat(j)-hat(k) on the vector 4hat(i)-4hat(j)+7hat(k) ?

Find the vector and Cartesian equations of the line joining the points whose position vectors are (hat(i) -2hat(j) +hat(k)) " and " (hat(i) +3hat(j) -2hat(k))