Find the unit vector in the same direction as v 4ij u Quest

Find the unit vector in the same direction as

v= 4i-j

u= ?

Question 2:

Question 1:

Select the representations that do not change the location of the point (4,150°) a. (-4,330°) Choose the correct answer below. Choose all that apply. b.(-4,210) d. (4,-210) A. B. C. D. (-4,330°) (-4,210°) (-4,-30°) (4-210°)

Solution

1)

v= 4i-j

|v|= [4²+(-1)²] =17

unit vector in same direction as v is,u=v_/|v|

u=(4_/17)i-(1_/17)j

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2)

(4,150^o)

=(-4,180^o+150^o)

=(-4,330^o)

(4,150^o)

=(-4,150^o-180^o)

=(-4,-30^o)

(4,150^o)

=(4,150^o-360^o)

=(4,-210^o)