In my grade 12 calculus course, we're not taught matrixes, and only learn about vector and parametric equations of a plane. Is there an alternative way to solve this problem?
Homework Statement
Does the line with equation (x, y, z) = (5, -4, 6) + u(1,4,-1) lie in the plane with equation (x, y, z) = (3, 0, 2) + s(1,1,-1) + t(2, -1, 1)? Justify your answer algebraically.
Homework Equations
(x,y,z) = (x0,y0,z0) +s(a1.a2,b3) + t(b1,b2,b3)
The Attempt at a Solution...
Homework Statement
The complete combustion of methane is represented in the following equation:
CH4(g) + 2O2 -> CO2(g) +2H2O(g) +802.5 kJ
Assume that natural gas is essentially methane. The emission level of Carbon monoxide, CO(g) from the burning of natural gas is 19.14kg/MJ of energy...
Homework Statement
A classmate says "Since there are 2n^2 electrons possible in each energy level, and the atom with the greatest number of electrons has 118 electrons, that must mean that u is the highest possible value for n, because a value of 7 gives 2n^2 = 98 nad a value of 8 gives...