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# Analytical Geometry – line equation perpendicular to two vectors – Exercise 4426

Exercise

Calculate the line equation passing at (1,1,1) and perpendicular to the vectors

$$\vec{a}=2\vec{i}+3\vec{j}+\vec{k}$$

$$\vec{b}=3\vec{i}+\vec{j}+2\vec{k}$$

$$\frac{x-1}{5}=\frac{y-1}{-1}=\frac{z-1}{-7}$$