If `vecP=3hati+4hatj+12hatk` then find
(i) `|vecP|` and
(ii) the direction cosines of the `vecP`.

Explanation

(i) `|vecP|=P=sqrt(P_(x)^(2)+P_(y)^(2)+P_(z)^(2))`
`=sqrt(3^(2)+4^(2)+12^(2))=sqrt(169)=13`
(ii) `cos alpha=(P_(x))/(P)=(3)/(13)`,
`cos beta=(P_(y))/(P)=(4)/(13), cos gamma =(P_(z))/(P)=(12)/(13)`