Find whether the vectors `2i+3j+4k` and `4i+6j+8k` are parallel or not?

What is the condition for the vectors 2i+3j-4k and 3i-aj+ bk to be parallel?

What is the condition for the vectors 2i+3j-4k and 3i-aj+bkto be parallel?

The value of alpha for which the vectors 2i-j+k, i+2j+alphak" and "3i-4j+5k are coplanar is

Consider the vectors a = i- 2j + k and b= 4i- 4j + 7k What is the vector perpendicular to both the vectors?

. Find out whether the following pairs of lines are parallel,non-parallel & intersecting,or non-parallel & non-intersecting hat i_(1)=hat i+hat j+2hat k+lambda(3hat i-2hat j+4hat k) and r_(2)=hat i+hat j+3hat k+mu(-6hat i+4hat j-8hat k)

The Cartesian equation of the line passing through the point 2i -j +4k and parallel to the vector i+j-2k is

The condition for the vectors 2hat i+3hat j-4hat k and 3hat i-ahat j+bhat k to be parallel 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 :