- #1
Edwardo_Elric
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Homework Statement
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
Homework Equations
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