Y=10 and 3x+2y=3
X=-3 is NOT a function because it has multiple y values for one x value.
Y equals ten is a horizontal line, and passes the vertical line test, as does the third equation
You put the scores in order from least to greatest, then you have to find the middle number. Now you will end up with two middle numbers you add them and divide by 2 then u have it answer.
6 hours=360 minutes
Glass bottles needed to cook for 6 hours=360/7.5
=48
Weight of 48 glass bottles=48x500g
=24000g
=24kg
Price of 24kg of glass=5px24
<span> =120p</span>
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
