Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q85
In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3 i + j - k,- i +3 j +p k and 5 i +q j -4 k,…
In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively $\displaystyle 3 \hat{i}+\hat{j}-\hat{k},-\hat{i}+3 \hat{j}+p \hat{k}$ and $\displaystyle 5 \hat{i}+q \hat{j}-4 \hat{k}$, then the point $\displaystyle (p, q)$ lies on a line :
Official answer
(3)
making an acute angle with the positive direction of $\displaystyle x$-axis.
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.