Find the unit vector in the direction of sum of the vectors $(1, 1, 1), (2, - 1, - 1)$ and $(0, 2, 6)$

Open in App

Solution

sum of vectors (1,1,1) , (2,-1,-1) and (0,2,6)
$\to a =^i +^j +^k + 2^i -^j -^k + 2^j + 6^k$
$\to a = 3^i + 2^j + 6^k$
$^a = \frac{\to a}{| \to a |} = \frac{3^i + 2^j + 6^k}{\sqrt{49}} = \frac{3}{7}^i + \frac{2}{7}^j + \frac{6}{7}^k$

Suggest Corrections

Similar questions

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

\to a = 2^i -^j + 2^k

\to b = -^i +^j + 3^k

\to a = 2^i + 2^j - 5^k

\to b = 2^i +^j + 3^k

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

Join BYJU'S Learning Program