to the cross product 
reveals that a negative determinant [of 
] corresponds to a matrix which reverses the direction of the cross product of two vectors.[/quote]
and 
,
and 
although its supposed to be a quick comparison.
chance of landing heads when flipped. Krithik is playing a game where he starts with 
point. Every turn, he flips the coin, and if it lands heads, he gains 
points. Find the expected number of turns until Krithik wins.
be an isosceles triangle with 
Let 
Let 
intersect the extension of 
at 
Let 
be the midpoint of segment 
and let 
be the intersection of 
and 
Let the extension of 
intersect 
and the circumcircle of 
and 
respectively. Given that 
and 
compute the length of 
Y by
Consider a circle of center 
and a chord 
of it (not a diameter). Take a point 
on the ray 
. The perpendicular at onto meets the chord at 
and the circle at 
and 
. Denote by 
the orthogonal projection of onto the chord . Show that 
and a chord 
of it (not a diameter). Take a point 
on the ray 
. The perpendicular at onto meets the chord at 
and the circle at 
and 
. Denote by 
the orthogonal projection of onto the chord . Show that 
This post has been edited 2 times. Last edited by parmenides51, Oct 18, 2020, 8:24 PM
