Question

If $\alpha = (-1,0,1), \beta = (2,0,-2) \in V_{3}(R)$ an inner product space, then $||\alpha + \beta|| = $

• A. 2
• B. $\sqrt{2}$
• C. $-\sqrt{2}$
• D. $\sqrt{2}$

Hint:

Norm is just the 3D version of the Pythagorean theorem. Always sum the components before taking the squares.

Answer 1

The Correct Option is D