if a and b are the two vectors in a plane of different magnitude other than zero and 1, then unit vector perpendicular to both a and b is
Answers
Answer:
The unit vector perpendicular to both a and b is K^(cap) because both a and b are in plane so perpendicular to them is only K cap.
Explanation:
^j
|
|---------->i
/
/
v k
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Answer:
The unit vector perpendicular to both a and b is K cap because both a and b are in plane so perpendicular to them is only K cap.
Explanation:
From the above question,
They have given :
A and B are two vectors in a plane of different magnitudes other than zero and 1, thenunit vector perpendicular to both A and B
Let u = 1/√2. Then such a set is
(u,u,0), (0,-u,-u), and (-u,0,u).
The sum of the first and second is (u,0,-u).
The sum of the first and third is (0,u,u).
The sum of the second and third is (-u,-u,0).
The correct option is C →A×→B|→A| |→B| sinθ
The unit vector perpendicular to both a and b is K cap because both a and b are in plane so perpendicular to them is only K cap.
Let ,
A×→B=→C
C will be perpendicular to both →Aand →B.
A×→B=|→A| |→B| sinθ ^c
A×→B|→A| |→B| sinθ=^c
The correct option is C →A×→B|→A| |→B| sinθ
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