find the equation of the plane which contains two vectors, a=<1,2,3> and b=<2,1,0>, and a point (2,3,1)
Added by Karen J.
Step 1
To do this, we can take the cross product of the two given vectors a and b. n = a × b = <1, 2, 3> × <2, 1, 0> n = <(2)(0) - (3)(1), (3)(2) - (1)(0), (1)(1) - (2)(2)> n = <-3, 6, -3> Now we have the normal vector n = <-3, 6, -3>. The equation of the plane can be Show more…
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