csat-suneung 2007 Q6

csat-suneung · South-Korea · csat__math-science 3 marks Vectors: Lines & Planes Dihedral Angle or Angle Between Planes/Lines

For a regular hexahedron (cube) $\mathrm { ABCD } - \mathrm { EFGH }$, let $\theta$ be the angle between plane AFG and plane AGH. What is the value of $\cos ^ { 2 } \theta$? [3 points]
(1) $\frac { 1 } { 6 }$
(2) $\frac { 1 } { 5 }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 1 } { 3 }$
(5) $\frac { 1 } { 2 }$

For a regular hexahedron (cube) $\mathrm { ABCD } - \mathrm { EFGH }$, let $\theta$ be the angle between plane AFG and plane AGH. What is the value of $\cos ^ { 2 } \theta$? [3 points]\\
(1) $\frac { 1 } { 6 }$\\
(2) $\frac { 1 } { 5 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 1 } { 3 }$\\
(5) $\frac { 1 } { 2 }$

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 Q24 Q25 Q26 (Calculus) Q26 (Discrete Mathematics) Q26 (Probability and Statistics) Q27 (Calculus) Q27 (Discrete Mathematics) Q28 (Probability and Statistics) Q29 (Discrete Mathematics) Q29 (Probability and Statistics) Q30 (Discrete Mathematics) Q30 (Probability and Statistics)