I understand questions 1 and 2 but don't quite understand questions 3 and 4 ### Vector Analysis Exercise#### Problem 1:Vector **A** has a magnitude of 20 and points directly "South" along the y-axis. Write this vector in Cartesian coordinates:\[ \mathbf{A} = \ 0 \cdot \mathbf{\hat{i}} + (-20) \cdot \mathbf{\hat{j}} \]#### Problem 2:Vector **B** is given below in Cartesian coordinates.\[ \mathbf{B} = -10 \cdot \mathbf{\hat{i}} + 15 \cdot \mathbf{\hat{j}} \]**Instructions:**- Sketch this vector in the xy-plane shown below.**Diagram Explanation:**The diagram is a two-dimensional Cartesian coordinate system with an x-axis (horizontal) and a y-axis (vertical). You will need to plot Vector **B** with coordinates (-10, 15), which suggests moving 10 units left along the x-axis and 15 units up along the y-axis.#### Problem 3:Determine the dot product \( \mathbf{A} \cdot \mathbf{B} \).#### Problem 4:What is the angle between the two vectors **A** and **B**?**Equations:**- Dot Product: \( \mathbf{A} \cdot \mathbf{B} \)- Angle: \( \text{angle b/w} \, \mathbf{A} \, \& \, \mathbf{B} \)Please input your answers in the spaces provided:\[ \mathbf{A} \cdot \mathbf{B} = \underline{\hspace{3cm}} \]\[ \text{angle b/w} \, \mathbf{A} \, \& \, \mathbf{B} = \underline{\hspace{3cm}} \]

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Answered: 3) Determine Ã· B. 4) What is the angle…

Science

Physics

3) Determine Ã· B. 4) What is the angle between the two vectors A and B?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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