Find the vector of magnitude 5 units which is parallel to the vector `2 hat i-4 hat jdot`

Find a vector of magnitude 4 units which is parallel to the vector sqrt(3)hat i+hat j

Find the vector equation of a line which is parallel to the vector 2 hat i- hat j+3 hat k and which passes through the point (5, -2,4). Also reduce it to Cartesian form.

Find a vector of magnitude 7 units, which is perpendicular to two vectors : 2hat(i)-hat(j)+hat(k) and hat(i)+hat(j)-hat(k) .

Find a unit vector parallel to the vector -3hat i+4hat j

Find a vector of magnitude 9, which is perpendicular to both vectors 4hat i-hat j+3hat k and -2hat i+hat j-2hat k

Find a vector of magnitude 49, which is perpendicular to both the vectors 2hat i+3hat j+6hat k and 3hat i-6hat j+2hat k. Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

Find a vector of magnitude 5units and parallel to the resultant of vec a=2hat i+3hat j-3hat k and vec b=hat i-2hat j+3hat k

Find a vector of magnitude 15, which is perpendicular to both the vectors (4hat(i) -hat(j)+8hat(k)) and (-hat(j)+hat(k)).

Find a unit vector parallel to the vector hat i+sqrt(3)hat j

Find a vector of magnitude 6 which is perpendicular to both the vectors vec(a)= 4 hat(i)-hat(j) + 3 hat(k) and vec(b) = -2 hat(i) + hat(j)- 2 hat(k).