csat-suneung 2007 Q21

csat-suneung · South Korea · csat__math-science 4 marks Vectors 3D & Lines Vector Algebra and Triple Product Computation
In coordinate space, let B be the foot of the perpendicular from the point $\mathrm { A } ( 3,6,0 )$ to the plane $\sqrt { 3 } y - z = 0$. Find the value of $\overrightarrow { \mathrm { OA } } \cdot \overrightarrow { \mathrm { OB } }$. (Here, O is the origin.) [4 points] 
In coordinate space, let B be the foot of the perpendicular from the point $\mathrm { A } ( 3,6,0 )$ to the plane $\sqrt { 3 } y - z = 0$. Find the value of $\overrightarrow { \mathrm { OA } } \cdot \overrightarrow { \mathrm { OB } }$. (Here, O is the origin.) [4 points]
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)