Let \overline{a}=2 \overline{i}+\overline{j}+3 \overline{k}, \overline{b}=3 \overline{i}+3 \overline{j}+\overline{k} and \overline{c}=\overline{i}-2 \overline{j}+3 \overline{k} be three vectors. If \overline{r} is a vector such that \overline{ {\r}} \times \overline{ {\a}}=\overline{ {\r}} \times \overline{ {\b}} and \overline{ {\r}} \cdot \overline{ {\c}}=18, then the magnitude of the orthogonal projection of 4 \overline{ {\i}}+3 \overline{ {\j}}-\overline{ {\k}} on \overline{ {\r}} is [AP EAPCET 27 May 2025 S1]

AP EAPCET 27 May 2025 Shift 1 Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

Let a=2i+j+3k,b=3i+3j+k and c=i−2j+3k be three vectors. If r is a vector such that r×a=r×b and r⋅c=18, then the magnitude of the orthogonal projection of 4i+3j−k on r is

[AP EAPCET 27 May 2025 S1]

Validate

Go to Question:

Prev Question

Next Question