5he vector sum of p+ Q is a unit vector along positiv x axis . If value of p= I + j what is value of Q

The vector sum of P + Q is a unit vector along the positive x-axis. A unit vector along the positive x-axis is denoted as $\hat{i}$.
So, we have:

$$\vec{P} + \vec{Q} = \hat{i}$$

The value of vector P is given as:

$$\vec{P} = \hat{i} + \hat{j}$$

To find vector Q, we can rearrange the equation from Step 1:

$$\vec{Q} = \hat{i} - \vec{P}$$

Now, substitute the expression for $\vec{P}$ from Step 2 into this equation:

$$\vec{Q} = \hat{i} - (\hat{i} + \hat{j})$$ $$\vec{Q} = \hat{i} - \hat{i} - \hat{j}$$ $$\vec{Q} = (1-1)\hat{i} - \hat{j}$$ $$\vec{Q} = 0\hat{i} - \hat{j}$$ $$\vec{Q} = -\hat{j}$$