Question

Which of the following is the unit vector perpendicular to A and B?
Ав
(A) A^×B^ /
ABsin
(B) A^×B^/
ABcos
(C) A×B/
AB sino
D) A×B/
cosAB

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Answer 1

Answer:

Answer is Option 'A'

Explanation:

vector perpendicular to A & B is A × B.

Hence,

option A is the correct answer.

Answer 2

The unit vector which is perpendicular is  $\frac{A*B}{|A||B| sintheta}$

• Unit vector perpendicular to A and B
• n =  $\frac{A*B}{|A|B|}$ = $\frac{A*B}{|A||B| sintheta}$
• The resultant vector from the vector product of 2 vectors is perpendicular to the plane containing each vectors.
• So each a x b and b x a can provides a vector that's perpendicular to each vectors a and b.
• The cross product of A and B is given as,
• A×B=AB sinθn
• where n is that the unit vector perpendicular to A and B,

where n is the unit vector perpendicular to A and B,

∴ Unit vector perpendicular to $\frac{A*B}{|A||B| sintheta}$

• In vector product (or vector product) of 2 nonzero vectors a and , the resultant vector is perpendicular to each vectors a and b.

The unit vector which is perpendicular is $\frac{A*B}{|A||B| sintheta}$

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