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Direction Cosines

A = i + j . W...

Question

A = i + j . What is the angle between the vector and X-axis

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Solution

Dear student

$G i v e n t h a t \vec{A} = \hat{i} + \hat{j} a n d l e t t h e v e c t o r a l o n g t h e + x a x i s i s \vec{B} = \hat{i} s o a n g l e b / w t h e s e t w o i s g i v e n b y \cos θ = \frac{\vec{A} \cdot \vec{B}}{A B} = \frac{1 + 0}{\sqrt{2} \times 1} \cos θ = \frac{1}{\sqrt{2}} θ = 45 °$

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