Question

Find the unit vector parallel to the resultant of vector A =2i+3j and B= 3i-5j+k

Answer 1

let the resultant of vector A and vector B be C
C= (2i+3j)+(3i-5j+k)
C=5i-2j+k
unit vector parallel to vector C means the unit vector in the direction of vector C
i.e we have to remove the unit vector of vector C
therefore unit vector of vector C
=5i-2j+k/ sqroot (5)^2 +(2)^2 +(1)^2
=(sqroot 30)/6 i - (sqroot30)/15 j + (sqroot30)/30k