Find two vectors that are perpendicular to a 321 and b 052

Find two vectors that are perpendicular to a = (3,-2,1) and b = (0,5,-2).

Solution

The vector which will be perpendicular to both A and B is A cross B

Cross Product of (3,-2,1) and (0,5,-2) yields (-1,6,15).

Unit vector perpendicular to (3,-2,1) and (0,5,-2) will be (1/sqrt(262))(-1,i +6j +15k)

Another unit perpendicular to (3,-2,1) and (0,5,-2) will be (1/sqrt(262)(i -6j -15k)

Thank you

Find two vectors that are perpendicular to a = (3,-2,1) and b = (0,5,-2).SolutionThe vector which will be perpendicular to both A and B is A cross B Cross Produ

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