1.

A unit vector is represented as `(0.8hat(i)+bhat(j)+04hat(k))`. Hence, the value of b must beA. 0.4B. `sqrt(0.6)`C. 0.2D. `sqrt(0.2)`

Answer» Correct Answer - D
Given, unit vector `=0.8hat(i)+bhat(j)+0.4hat(k)`
Magnitude of vector `(Asqrt(x^(2)+y^(2)+z^(2)))`
Here, `x=0.8,y=b,z=0.4`
Now,
`=sqrt((0.8)^(2)+(b)^(2)+(0.4)^(2))`
`rArr1=sqrt(0.64+b^(2)+0.16)`
`rArr1=sqrt(0.64+b^(2)+0.16)`
`rArr1=0.64+b^(2)+0.16`
`rArr1=0.80+b^(2)`
`rArrb^(2)=1-0.80`
`rArrb^(2)=0.2`
`rArrb=sqrt(0.2)`


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