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Grade: 12
        If a,b,c are vectors such that a×b=c,b×c=a,c×a=b . Show that a,b,c are mutually perpendicular unit vectors.
7 months ago

Answers : (1)

Natasha
11 Points
							Since a×b=c, a and b lie in the same plane. (Using properties of cross product).  Also, a and b are perpendicular to c.....(1)Similarly, if b and c are considered in a single plane, they are perpendicular to a....(2)Likewise, when c and a are in a single plane, they are perpendicular to b....(3)From (1),(2),(3) a, b and c are all perpendicular to each other.
						
7 months ago
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