Let \overline{ {\a}}=2 \overline{ {\i}}+\overline{ {\j}}-\overline{ {\k}} and \overline{ {\b}}=\overline{ {\i}}+3 \overline{ {\j}}-5 \overline{ {\k}} be two vectors, and \overline{ {\r}} be a vector along the vector \overline{3 {\a}}-2 \overline{ {\b}} such that |\overline{ {\r}}|=\sqrt{74}. If the direction of \overline{ {\r}} is opposite to that of 3 \overline{ {\a}}-2 \overline{ {\b}}, then \overline{ {\r}}=

Correct Answer is : −4i+3j−7k

-7 \overline{ {\i}}-4 \overline{ {\j}}+3 \overline{ {\k}}

4 \overline{ {\i}}+7 \overline{ {\j}}-3 \overline{ {\k}}

-4 \overline{ {\i}}+3 \overline{ {\j}}-7 \overline{ {\k}}

4 \overline{ {\i}}-3 \overline{ {\j}}+7 \overline{ {\k}}

AP EAPCET 16th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 29 of 160

Marks: +1, -0

Let a=2i+j−k and b=i+3j−5k be two vectors, and r be a vector along the vector 3a−2b such that |r|=√74. If the direction of r is opposite to that of 3a−2b, then r=

−7i−4j+3k
4i+7j−3k
−4i+3j−7k
4i−3j+7k

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