csat-suneung 2024 Q25_geometry

csat-suneung · South-Korea · csat__math 3 marks Vectors Introduction & 2D Magnitude of Vector Expression
For two vectors $\vec{a}$ and $\vec{b}$, $$|\vec{a}| = \sqrt{11}, \quad |\vec{b}| = 3, \quad |2\vec{a} - \vec{b}| = \sqrt{17}$$ What is the value of $|\vec{a} - \vec{b}|$? [3 points]
(1) $\frac{\sqrt{2}}{2}$
(2) $\sqrt{2}$
(3) $\frac{3\sqrt{2}}{2}$
(4) $2\sqrt{2}$
(5) $\frac{5\sqrt{2}}{2}$ 
For two vectors $\vec{a}$ and $\vec{b}$,
$$|\vec{a}| = \sqrt{11}, \quad |\vec{b}| = 3, \quad |2\vec{a} - \vec{b}| = \sqrt{17}$$
What is the value of $|\vec{a} - \vec{b}|$? [3 points]\\
(1) $\frac{\sqrt{2}}{2}$\\
(2) $\sqrt{2}$\\
(3) $\frac{3\sqrt{2}}{2}$\\
(4) $2\sqrt{2}$\\
(5) $\frac{5\sqrt{2}}{2}$
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q23_calculus Q23_geometry Q24 Q24_calculus Q24_geometry Q25 Q25_calculus Q25_geometry Q26 Q26_calculus Q26_geometry Q27 Q27_calculus Q27_geometry Q28 Q28_calculus Q28_geometry Q29 Q29_geometry Q30 Q30_geometry