Find a vector having same magnitude as vector `vecA=6hati+18hatj` and parallel to vector `vecB=2hati+5 hatj`.

Explanation

To find a vector that has the same magnitude as vector \(\vec{A} = 6\hat{i} + 18\hat{j}\) and is parallel to vector \(\vec{B} = 2\hat{i} + 5\hat{j}\), we can follow these steps:

### Step 1: Calculate the magnitude of vector \(\vec{A}\)
The magnitude of a vector \(\vec{A} = a\hat{i} + b\hat{j}\) is given by the formula:
\[ |\vec{A}| = \sqrt{a^2 + b^2} \]
For \(\vec{A} = 6\hat{i} + 18\hat{j}\):
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