If $\overrightarrow{A} \bullet \overrightarrow{B} = 0$ and $\overrightarrow{A} imes \overrightarrow{B} = 1$ , then $\overrightarrow{A}\ $and $\overrightarrow{B}$ are

Question

If $\overrightarrow{A} \bullet \overrightarrow{B} = 0$ and $\overrightarrow{A} 	imes \overrightarrow{B} = 1$ , then $\overrightarrow{A}\ $and $\overrightarrow{B}$ are

Dr. Abubacker · Accepted Answer

(a) $\overrightarrow{A} \bullet \overrightarrow{B} = 0 \Rightarrow \overrightarrow{A}\bot\overrightarrow{B}$
Now, $\overrightarrow{A} 	imes \overrightarrow{B} = \overrightarrow{1}$ or $AB\ sin	heta = 1$
$AB\ \sin 90{^\circ} = 1$ or $AB = 1 \Rightarrow A = 1$ and $B = 1$
So, $\overrightarrow{A}$ and $\overrightarrow{B}$ are perpendicular unit vectors.

Q. If $\overrightarrow{A} \bullet \overrightarrow{B} = 0$ and $\overrightarrow{A} \times \overrightarrow{B} = 1$ , then $\overrightarrow{A}\ $and $\overrightarrow{B}$ are

Explanation

Reviewed by Dr. Abubacker

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