First slide

Vectors

Question

Find a vector perpendicular to both the vectors $\vec{A} = \hat{i} + \hat{j}$ and $\vec{B} = \hat{j} + \hat{k}$

Moderate

A

$\hat{i} - \hat{j}$
B

$\hat{i} - \hat{j} + \hat{k}$
C

$\hat{i} + 2 \hat{j} + \hat{k}$
D

$\hat{i} - \hat{k}$

Solution

$\vec{A} \times \vec{B} = |\begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ 1 & 1 & 0 \\ 0 & 1 & 1 \end{matrix}| = \hat{i} - \hat{j} + \hat{k}$

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