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

```
4 years ago Harsh Patodia
IIT Roorkee
907 Points
```							AxB= absin (theta)A.B= abcos (theta)From given conditon it followssin (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
```							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/QABsin \$= √(3)ABcos \$=> tan\$= √(3)=> \$ = 60°
```
3 months ago
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