Question

Prove the vectors a=7i-3j-2k and b=2i+2j+4k are perpendicular to each other

Answer 1

To check whether two vectors are perpendicular or not, we do dot product of the vectors. If the dot product is zero then the vectors are said to be perpendicular to each other.

So, a.b= (7i-3j-2k).(2i+2j+4k)= 14-6-8=0
Hence, a and b are perpendicular to each other.