given-the-following-vector-vv-obtain-the-unit-vector-that-aligns-with-the-direct

Question

Given the following vector, ﻿v\mathbf{v}v﻿, obtain the unit vector that aligns with the direction of ﻿v\mathbf{v}v﻿.﻿v=−5i+2j\mathbf{v}=-5\mathbf{i}+2\mathbf{j}v=−5i+2j﻿

Accepted Answer

﻿−52929i+22929j-\frac{5\sqrt{29}}{29}\mathbf{i}+\frac{2\sqrt{29}}{29}\mathbf{j}−29529​​i+29229​​j﻿

Answer

﻿−52121i+22121j-\frac{5\sqrt{21}}{21}\mathbf{i}+\frac{2\sqrt{21}}{21}\mathbf{j}−21521​​i+21221​​j﻿

Answer

﻿−52121i−22121j-\frac{5\sqrt{21}}{21}\mathbf{i}-\frac{2\sqrt{21}}{21}\mathbf{j}−21521​​i−21221​​j﻿

Answer

﻿−52929i−22929j-\frac{5\sqrt{29}}{29}\mathbf{i}-\frac{2\sqrt{29}}{29}\mathbf{j}−29529​​i−29229​​j﻿

Given the following vector, v\(\mathbf{v}\)v, obtain the unit vector that aligns with the direction of v\(\mathbf{v}\)v.v=−5i+2j\(\mathbf{v}\)=-5\(\mathbf{i}\)+2\(\mathbf{j}\)v=−5i+2j

Given the following vector, $\mathbf{v}$ , obtain the unit vector that aligns with the direction of $\mathbf{v}$ .
$\mathbf{v}\)=-5\(\mathbf{i}\)+2\(\mathbf{j}$