00:01
Okay, so looking at these two given planes here, if we convert the given plan equation here into the form, which can give us the normal vector, right? we go ahead and we just want to set this equal to zero.
00:14
So we get, this implies that 8x minus 2y, minus 4 z, plus 5 is equal to 0, right? and then, well, we get the normal as just the coefficients on the x, y, and z.
00:34
So therefore, the normal here is going to be 8 negative 2, negative 4.
00:43
And, oops, negative.
00:50
Okay, and looking at a second plane here, well, we can clear the fractions by multiplying everything here through by 4, right, to give us 4x minus y minus 2 z is equal to 0, right? setting our equation equal to 0, and then we get the normal for this plane as the coefficients, again, as 4 -1 -negative -2.
01:31
So we get the normal here for negative 1, negative 2.
01:36
And then, well, to determine whether these planes are parallel, we can look at the ratios of the normal...
