13. Given v = <1, -7>, find a unit vector u in the same direction as v. A. <u221a2/17, -7u221a2/17> C. <u221a7/10, -2u221a7/10> B. <u221a7/17, -2u221a7/17> D. <u221a2/10, -7u221a2/10>
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The magnitude of a vector \( \mathbf{v}=\langle a,b\rangle \) is given by \( ||\mathbf{v}||=\sqrt{a^2+b^2} \). So, the magnitude of \( \mathbf{v}=\langle 1,-7\rangle \) is \( ||\mathbf{v}||=\sqrt{1^2+(-7)^2}=\sqrt{1+49}=\sqrt{50} \). Show more…
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