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=
Answer:
About 9.4 units
Step-by-step explanation:
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
5/8 of the students are boys
5 representing boys
8 representing all students