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kostoglotov
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Doing MIT OCW 18.06 using Gilbert Strang Intro to Linear Algebra.
Ch 1.2
The vectors that are perpendicular to <1,1,1> and <1,2,3> lie on a ___________.
I would have said "plane".
I've worked with vectors in calculus, and if you take the cross product of those two vectors you get a vector perpendicular to both, and you could, visualizing it, move that vector around on the surface of the plane defined by <1,1,1> and <1,2,3>...
But the answer given in the solution manual is "line"...
How are all the vectors perpendicular to <1,1,1> and <1,2,3> lying on a line?
Ch 1.2
The vectors that are perpendicular to <1,1,1> and <1,2,3> lie on a ___________.
I would have said "plane".
I've worked with vectors in calculus, and if you take the cross product of those two vectors you get a vector perpendicular to both, and you could, visualizing it, move that vector around on the surface of the plane defined by <1,1,1> and <1,2,3>...
But the answer given in the solution manual is "line"...
How are all the vectors perpendicular to <1,1,1> and <1,2,3> lying on a line?