Question

A vector starts at point (-3, 4) and ends at point (6,-3). What is the magnitude of the vector? AnswerTo two decimal places

Answer 1

Given data

*A vector starts with a point is P = (-3, 4)

*A vector ends with a point is Q = (6, -3)

The formula for the magnitude of the vector PQ is given as

`\lvert\vec{PQ}\rvert=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Substitute the known values in the above expression as

`\begin{gathered} \lvert\vec{PQ}\rvert=\sqrt[]{(6-(-3))^2+(-3-4)^2} \\ =\sqrt[]{(9)^2+(-7)^2} \\ =\sqrt[]{81+49} \\ =\sqrt[]{130} \\ =11.40 \end{gathered}`