Given and , choose the vector that is a unit vector along…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Given A⃗=2 i^−j^+k^\vec A = 2\,\hat i - \hat j + \hat k and B⃗=i^+2 j^−2 k^\vec B = \hat i + 2\,\hat j - 2\,\hat k, choose the vector that is a unit vector along 2A⃗−B⃗2\vec A - \vec B. (a) 35 i^−45 j^+45 k^\dfrac{3}{5}\,\hat i - \dfrac{4}{5}\,\hat j + \dfrac{4}{5}\,\hat k (b) 119 i^−319 j^+319 k^\dfrac{1}{\sqrt{19}}\,\hat i - \dfrac{3}{\sqrt{19}}\,\hat j + \dfrac{3}{\sqrt{19}}\,\hat k (c) 341 i^−441 j^+441 k^\dfrac{3}{\sqrt{41}}\,\hat i - \dfrac{4}{\sqrt{41}}\,\hat j + \dfrac{4}{\sqrt{41}}\,\hat k (d) 329 i^−429 j^+429 k^\dfrac{3}{\sqrt{29}}\,\hat i - \dfrac{4}{\sqrt{29}}\,\hat j + \dfrac{4}{\sqrt{29}}\,\hat k

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