Find a unit vector that has the same direction as the given vector -3m | Basic Mathematics 2081.2

Basic Mathematics2081.25 marksNumerical: unit vector calculation

Find a unit vector that has the same direction as the given vector $-3\mathbf{i} + 7\mathbf{j}$ . [5]

Find a unit vector that has the same direction as the given vector $-3\mathbf{i} + 7\mathbf{j}$. [5]

Vector: $\mathbf{v} = -3\mathbf{i} + 7\mathbf{j}$ - Components: $vx = -3$ , $vy = 7$ A unit vector in the same direction as $\mathbf{v}$ is given by: $\mathbf{\hat{u}} = \frac{\mathbf{v}}{\mathbf{v}}$ $\mathbf{v} = \sqrt{(-3)^2 + (7)^2} = \sqrt{9 + 49} = \sqrt{58}$ $$\mathbf{\hat{u}} = \frac...

Vector: $\mathbf{v} = -3\mathbf{i} + 7\mathbf{j}$ - Components: $vx = -3$, $vy = 7$ A unit vector in the same direction as $\mathbf{v}$ is given by: $$\mathbf{\hat{u}} = \frac{\mathbf{v}}{\mathbf{v}}$$ $$\mathbf{v} = \sqrt{(-3)^2 + (7)^2} = \sqrt{9 + 49} = \sqrt{58}$$ $$\mathbf{\hat{u}} = \frac...

Find a unit vector that has the same direction as the given vector -3mathbfi + 7mathbfj.