if |A×B|=root3(A.B)vector then find the value of (A+B)vector
if |A×B|=root3(A.B)vector then find the value of (A+B)vector
T Jahnavi , 9 Years ago
Grade 11
General Physics> if |A×B|=root3(A.B)vector then find the v...
2 Answers
Harsh Patodia
AxB= absin (theta)
A.B= abcos (theta)
From given conditon it follows
sin (theta)= root3cos (theta)
which means theta is 60.
For getting A+B we need magnitudes of these vectors as well. We have got angle from above relation.
A.B= abcos (theta)
From given conditon it follows
sin (theta)= root3cos (theta)
which means theta is 60.
For getting A+B we need magnitudes of these vectors as well. We have got angle from above relation.
ankit singh
A×B is a Vector and A.B is a scalar. They can never be equal to each other.
However their magnitudes can be of same value.
→ Case(i) Assume that the actual question is :- ( If |A×B|=|√3A.B| , then what is the value of |A+B| ? )
(1) First possibility → Let A and B are non-zero vectors,
Then,
|A×B|= |ABsin $|
where, $ is the angle between A and B vectors.
A.B= ABcos $
Where, $ is the angle between A and B vectors.
A/Q
ABsin $= √(3)ABcos $
=> tan$= √(3)
=> $ = 60°
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