Question

Find the vector component of the vector with initial point (2, 1) and terminal point (–5, 7).

Options

• 7, 6

• –7, 6

• 5, 6

• –5, 6

Answer 1

–7, 6

Explanation:

Let A(2, 1) be the initial point and B(–5, 7) be the terminal point.

∴ AB = `(x_2 - x_1) hati + (y_2 - y_1)hatj`

= `(-5 - 2)hati + (7 - 1)hatj`

= `-7hati + 6hatj`

The sclar components are –7 and 6.