Supposethe plane 3 + mg + b2. = c contains the point (1,2,3) and the line :8 : r[t] = (4,6,5) + t[1,1,1], t E R. Find a,b and c. W a =ll one 6 =ll one c=lln|e Consider two planes 1rl : :I: + y + z = 15 and 2 : 4:: + 9:; + 11: = 15. Suppose the plane 3 + ay+ be = c is perpendicular to both 1 and 12 and contains the point (2,4,4). Find 11,5 and 5. Answer: a=l lane ra=l lane c=l lune Four points A,B,C and D fen'ns a parallelogram with adjacent sides AB and AC and vertices A [5, 0,0) , B(0,4,l]} and C [0, 0,4). Find the coordinates of D. Answer: D =( I Number I I Number I I Number ). Find the reflection of the point (4,2,4) in the plane 3: + 7y + 97. = 13. Answer: The reection of the point {4, 2,4] is the point (a, he], where a=l line b=l line c=l lane