Past exam of the mathematics course of the University of Cambridge / 2023 / ia / Paper 1 / 5A / a

Table of contents
- i a
  - Solution i
- ii a
  - Solution ii
- iii a
  - Solution iii

i

Solution

This is the plane through

a

perpendicular to the nonzero normal vector

n

.

ii

Solution

This is the affine plane through

b, d, f

, provided

d - b

and

f - b

are independent. The scalars

λ, μ

are affine coordinates in those two directions.

iii

Solution

This is the sphere with centre

c

ρ > 0

.

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