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

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

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

Final Answer

x15=y11=z17\frac{x-1}{5}=\frac{y-1}{-1}=\frac{z-1}{-7}

Solution

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