Two vectors, each of length 3:
a⃗=(1, 2, 2),b⃗=(−2, 2, −1)\vec a = (1,\, 2,\, 2), \qquad \vec b = (-2,\, 2,\, -1)a=(1,2,2),b=(−2,2,−1)
What is the unit vector pointing in the direction of 2a⃗+b⃗2\vec a + \vec b2a+b?
Select all that apply.
(0, 25, 15)\left(0,\; \dfrac{2}{\sqrt{5}},\; \dfrac{1}{\sqrt{5}}\right)(0,52,51)
(0, 2, 1)(0,\; 2,\; 1)(0,2,1)
(0, 23, 13)\left(0,\; \dfrac{2}{3},\; \dfrac{1}{3}\right)(0,32,31)
(−15, 25, 0)\left(-\dfrac{1}{\sqrt{5}},\; \dfrac{2}{\sqrt{5}},\; 0\right)(−51,52,0)