Question: Determine the value(s) for k that makes a = [2, k, 2] and b = [3, k + 1, -4] orthogonal, where k E R

![2] and b = [3, k + 1, -4] orthogonal, where k](https://s3.amazonaws.com/si.experts.images/answers/2024/06/66671939b5e16_69766671939a5999.jpg)
![E R and k > 0 [3.5 marks]Given a normal (perpendicular) vector](https://s3.amazonaws.com/si.experts.images/answers/2024/06/6667193a0b621_69766671939e5ab1.jpg)

Determine the value(s) for k that makes a = [2, k, 2] and b = [3, k + 1, -4] orthogonal, where k E R and k > 0 [3.5 marks]Given a normal (perpendicular) vector to a line in 2D and a point on that line, explain how you would find the equation of the line. Use some mathematics (you can define some variables, like n as the normal vector and Ax + By + C = 0 as the equation of a line) [4 marks]
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