The vectors `2 hati + 3 hatj , 5 hati + 6hatj and 8 hatj + lambda hatj ` have their initial points at (1, 1). The value of `lambda` so that the vectors terminate on one straight line, is

Explanation

To solve the problem, we need to determine the value of \( \lambda \) such that the three vectors terminate on a straight line. Here’s a step-by-step solution:

### Step 1: Identify the vectors and their terminal points
The vectors given are:
1. \( \mathbf{A} = 2\hat{i} + 3\hat{j} \)
2. \( \mathbf{B} = 5\hat{i} + 6\hat{j} \)
3. \( \mathbf{C} = 8\hat{j} + \lambda\hat{j} = 0\hat{i} + (8 + \lambda)\hat{j} \)

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