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Grade: 11

                        

if |A×B|=root3(A.B)vector then find the value of (A+B)vector

4 years ago

Answers : (2)

Harsh Patodia
IIT Roorkee
askIITians Faculty
907 Points
							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.
4 years ago
ankit singh
askIITians Faculty
596 Points
							

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°

3 months ago
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