Q1. \(\overrightarrow {A}\)Β is a vector with magnitude \(A\), then the unit vectorΒ \(\hat{A}\)Β in the direction ofΒ \(\overrightarrow {A}\)Β is:
\(A\overrightarrow A\)
\(\overrightarrow A \cdot\overrightarrow A\)
\(\overrightarrow A \times \overrightarrow A\)
\(\frac{\overrightarrow A}{A}\)
Explanation:
Hint:Β \(\hat A=\dfrac{\vec A}{|\vec A|}\)
Step:Β
Find the unit vector in the direction ofΒ \(\vec A.\)
A unit vector is obtained by dividing the vector by its magnitude.
Given,Β \(|\vec A| = A\)
Therefore,Β \(\hat A=\dfrac{\vec A}{|\vec A|}\)
Hence, option (4) is the correct answer.
Β