If A = [25,60°] and B = 5 i +5 j, what is the magnitude and the direction of 2Ã +B?

The addition of two vectors A→=a1i^+a2j^ and B→=b1i^+b2j^ is given by-A→+B→=(a1+b1)i^ + (a2+b2)j^…

Answered: If À = [25,60°] and B = 5 i +5 j , what…

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)...

See similar textbooks

Related questions

Concept explainers

Question

If A = [25,60°] and B = 5 i +5 j, what is the magnitude and the direction of 2Ã +B?

Expert Solution

Step 1

The addition of two vectors $\vec{A} = a_{1} \hat{i} + a_{2} \hat{j} and \vec{B} = b_{1} \hat{i} + b_{2} \hat{j}$ is given by-
$\vec{A} + \vec{B} = (a_{1} + b_{1}) \hat{i} + (a_{2} + b_{2}) \hat{j}$

Any vector with magnitude $r$ and angle $θ$ with the positive x-axis is written in polar notation as- $\vec{A} = [r, θ]$

This polar notation when expressed in rectangular coordinate form, it is given as- $\vec{A} [rcos (θ), rsin (θ)]$

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions