Two vectors $\mathbf{a}$ and $\mathbf{b}$ are such that \(\vert{}\mathbf{a} \times \mathbf{

Question

Two vectors $\mathbf{a}$ and $\mathbf{b}$ are such that $\vert{}\mathbf{a} \times \mathbf{b}\vert{} = 3$. It is given that $\mathbf{a}$ is a unit vector and $\mathbf{b} \cdot \mathbf{b} = 9$. Show that $\mathbf{a}$ and $\mathbf{b}$ are perpendicular.[3]

Accepted Answer

The angle between $\mathbf a$ and $\mathbf b$ is $\dfrac\pi2$, so $\mathbf a\perp\mathbf b$.

N2024 P1 Q2

N2024 P1 Q2

Video Solution:

Solution 1