Specialist2026 NHT Exam 2 Section A · Q19CAS active1 mark

Line of intersection of two planes

Which one of the following vector equations describes the line of intersection of the planes given by $x - 2y + z = 3$ and $2x + y - z = 5$ ?

1 mark

\tvec{r} = 2\tvec{i} - 2\tvec{j} - 3\tvec{k} + s(\tvec{i} + 3\tvec{j} + 5\tvec{k}),\ s \in \R

\tvec{r} = 3\tvec{i} + \tvec{j} + 2\tvec{k} + s(\tvec{i} - 3\tvec{j} + 5\tvec{k}),\ s \in \R

\tvec{r} = \tvec{i} + \tvec{j} + 4\tvec{k} + s(\tvec{i} + 3\tvec{j} + 5\tvec{k}),\ s \in \R

\tvec{r} = \tvec{i} - 5\tvec{j} - 8\tvec{k} + s(\tvec{i} - 3\tvec{j} + 5\tvec{k}),\ s \in \R

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