(Solved): Homework 1 1. Consider the following vectors. \[ \begin{array}{c} \vec{A}=12 \mathrm{~m} \hat{i}-7 ...

Homework 1 1. Consider the following vectors. \[ \begin{array}{c} \vec{A}=12 \mathrm{~m} \hat{i}-7.0 \mathrm{~m} \hat{j} \\ \vec{B}=-2.5 \mathrm{~m} \hat{i}+3.1 \mathrm{~m} \hat{j} \end{array} \] In each of the following cases, find the vector in both com (a) \( \vec{A}+\vec{B} \) (b) \( \vec{A}-\vec{B} \) (c) \( -3 \vec{A}+7 \vec{B} \)