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Determine the infinite limit.

$ \displaystyle \lim_{x \to 1}\frac{2-x}{(x-1)^2} $

Find the cross product $ a \times b $ and verify that it is orthogonal to both $ a $ and $ b $.

$ a = \langle 2, 3, 0 \rangle $ , $ b = \langle 1, 0, 5 \rangle $

$ a = \langle 4, 3, -2 \rangle $ , $ b = \langle 2, -1, 1 \rangle $

$ a = 2j - 4k $ , $ b = -i + 3j + k $

$ a = 3i + 3j - 3k $ , $ b = 3i - 3j + 3k $

$ a = \frac{1}{2} i + \frac{1}{3} j + \frac{1}{4} k $ , $ b = i + 2j - 3k $