(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the two vectors written in component-unit vector form below:

[tex]D = 3\hat{i} - \hat{j}[/tex]

[tex]E = 2\hat{i} + 4\hat{j}[/tex]

a.) Find the unit vector in the same direction as D

b.) Find the cross product of D x E

c.) Write the vector D in magnitude direction form

2. Relevant equations

3. The attempt at a solution

a.)

[tex]\hat{u} = \frac{\vec{D}}{D}[/tex]

[tex]\hat{u} = \frac{3\hat{i}}{10} - \frac{\hat{j}}{10}[/tex]

b.) Cz = DxEy - DyEx

Cz = [3][4] - [-1][2]

= 12 + 2

= 14

c.) D = sqrt(3^2 + 1)

= 3.2

theta = tan^-1(1/-3)

= 18.4

3.2.... 18.4 degrees S of W

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# Homework Help: Find unit vector and cross product

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