Question

hello everyone pls say the answer for this question please ​

Answer 1

Sorry Mate I don't know how to insert Vector symbol Sor please Make the changes as needed

We know that Vector product include

Sin

i.e,

$A×B=ABSin\theta$

And Dot product include Cos

i.e,

$A.B =ABCos(\theta)$

where @ is the Angle between the vectors

Now if

A×B=A.B

that implies

$ABSin\theta=ABCos\theta$

$Sin\theta=Cos\theta$

$\frac{Sin\theta}{Cos\theta}=1$

$tan\theta=1$

$\theta=45° or \frac{\pi}{4}$

Statement 2

A×B=0 that means

$ABSin\theta=0$

$\theta=0°$

$A.B=ABCos\theta$

$ABCos(0°)=AB$

Hence

A is False and B is True