`hati+hatj+hatk` की दिशा कोज्याएँ हैं -

Options

A. `1,1,1`
B. `2,2,2`
C. `(1)/(sqrt(2)),(1)/(sqrt(2)),(1)/(sqrt(2))`
D. `(1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))`

Answer

D

Explanation

माना `vecA=hati+hatj+hatk`
`:.A_(x)=1,A_(y)=1,A_(2)=1`
तथा `A=sqrt(A_(x)^(2)+A_(y)^(2)+A_(z)^(2))=sqrt((1)^(2)+(1)^(2)+(1)^(2))=sqrt(3)`
`cosalpha,cosbeta` तथा `cosgamma,vecA` की कोज्या दिशाएँ हैं।
`:.cosalpha=(A_(x))/(A)=(1)/(sqrt(3))`
`cosbeta=(A_(y))/(A)=(1)/(sqrt(3))`
`cosgamma=(A_(z))/(A)=(1)/(sqrt(3))`