If the magnetic field $\vec{B}=\hat{i}-0.3 \hat{j}$ and the area $\vec{A}=\hat{i}+6 \hat{j}-3 \hat{k}$ then the magnetic flux through this area is:

-0.8 unit

The correct answer is Option (1) → -0.8 unit

Magnetic flux $(\phi_B)$ through an area is given by the dot product of magnetic field $(\vec B)$ and area of vector $(\vec A)$.

$\phi_B=B.A$

$=(\hat i-0.3\hat j).(\hat i+6\hat j-3\hat k)$

$=1×1-0.3×6+(0)(-3)$

$=1-1.8=-0.8$ unit