Find a vector in the direction of vector `veca= hat i-2 hat j` `that has magnitude 7 units.

Explanation

To find a vector in the direction of the vector \( \vec{a} = \hat{i} - 2\hat{j} \) that has a magnitude of 7 units, we will follow these steps:

### Step 1: Determine the Magnitude of Vector \( \vec{a} \)

The magnitude of a vector \( \vec{a} = x\hat{i} + y\hat{j} \) is given by the formula:

\[
|\vec{a}| = \sqrt{x^2 + y^2}
...