Vectors 18 • Shortest Distance between Parallel Planes - Parametric Form • CP1 Ex9F • 🎯

Edexcel Core Pure Year 1

Mon 9/3/20

[mrfreerunners]

this really pushed me! but we keep going! :)

[redsolaris]

Is it not possible to use the cartesian equation to generate two different vector points on the plane using different parameters and then calculate the normal to those two vector points to get the normal to the plane?

[Senyorita]

If you cross two vectors in plane1 to find n1, you get n1=<-3, -4, 12>. Technically you can use this n1 to find d1. The observation here is that if you use <-3, -4, 12>, the distance from Plane1 to the origin comes out as -1.

Then the distance between the planes is then 2-(-1)=3. Why did I get a different answer?
I could not find anywhere that the normals must have the same direction.

[Anthony-vzks]

hi, could you also use the cross product to find the normal at the start of the q? Also would you be allowed to use the calculator for it as it can compute cross product or do we need to show working?

[alfieparkin]

For question 5a why do you need to find the distance between the planes and the origin and subtract them?

[lakisananratnarajah]

would they every ask you to find the shortest distance between two 2 skew planes?

[bharadwajeddanapudi]

sir, for the simultaneous equations, i let z = 1 and i ended up getting my final distance as 3, sir. my normal vector was the same as yours, except the x and y components were negative, and my z component was positive.

[terrencemayne]

Hi, how much content is expected to be learnt during year 12?