For given vectors, and , find the unit vector in the direction of the vector

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Solution

The given vectors are and.

Hence, the unit vector in the direction of is
$\frac{(\vec{a} + \vec{b})}{|\vec{a} + \vec{b}|} = \frac{\hat{i} + \hat{k}}{\sqrt{2}} = \frac{1}{\sqrt{2}} \overset{⏜}{i} + \frac{1}{\sqrt{2}} \overset{⏜}{k} .$

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For given vectors, and , find the unit vector in the direction of the vector

\to a = 2 ˆ i - ˆ j + 2 ˆ k

b = - ˆ i + ˆ j - ˆ k

\to a + \to b

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