Answer with Step-by-step explanation:
a.Let given vector
a=8i-j+4k
By using the formula
Magnitude of a vector=
Where x=Coefficient of i
y=Coefficient of j
z=Coefficient of k
Unit vector=
By using the formula
The unit vector=
b.Let vector b=-2i+4j+2k
Length of vector=6
Therefore, the vector in the direction of <-2,4,2> with length 6 is given by =
The vector in the direction of <-2,4,2> with length 6 is given by =
c.
Let v=
Therefore, the vector v in component form=
