Question

Let a, b and c be linearly independent. Show that the equation

(a × b + b × c + c × a) · x = [a, b, c] ...(1)

defines the plane through a, b and c.

What object is defined by (1) if a and b are linearly independent, but c ∈ span{a, b}?

What object is defined by (1) if a = 0, but b, c ∈ span{a}? What object is defined by (1) if

a = b = c = 0? Give reasons for your answers.​

Answer 1

Answer:

good

Step-by-step explanation:

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