Question

Find a vector of magnitude (5/2) units which is parallel to the vector `3hati+4hatj`.

Answer 1

Here, `a=3hati+4hatj`
then, `|a|=sqrt(3^(2)+4^(2))=5`
`therefore`A unit vector parallel to
`a=hata=(a)/(|a|)*=(1)/(5)(3hati+4hatj)`
Hence, the required vector of magnitude (5/2) units and parallel to a
`=(5)/(2)*hata=(5)/(2)*(1)/(5)(3hati+4hatj)`
`=(1)/(2)(3hati+4hatj)`.