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Linear algebra

  • #1

Homework Statement



b. Let A be a 2 by 3 matrix whose rows, v1 and v2 are nonzero, nonparallel vectors in R3. Why is any nonzero vector x that satisfies the equation Ax = 0 a normal vector for the plane spanned by the vectors v1 and v2? Explain your response.

Homework Equations





The Attempt at a Solution


I have no idea where to begin. Please help.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
LCKurtz
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Hint: If you call the row vectors of the matrix C and D, What does Ax = 0 tell you about the dot product of C and D with x?
 

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