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