Find out the angle made by `(hati+hatj)` vector from X and Y axes respectively.
Text Solution
AI Generated Solution
To find the angles made by the vector \( \hat{i} + \hat{j} \) with the X and Y axes, we can follow these steps:
### Step 1: Understand the Vector
The vector \( \hat{i} + \hat{j} \) represents a diagonal line in the XY plane. Here, \( \hat{i} \) is the unit vector along the X-axis, and \( \hat{j} \) is the unit vector along the Y-axis.
### Step 2: Calculate the Magnitude of the Vector
The magnitude of the vector \( \hat{i} + \hat{j} \) can be calculated using the formula:
\[
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