Question

Let the vector v have an initial point at (6,-7) and a terminal point at (4,-6). determine the components of vector v

Answer 1

The components of v are -2 and 1.

What are components of vector?

The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ($v_x, v_y$), where V is the vector.

As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).

If initial point of vector $(x_1,y_1)$ and terminal point is $(x_2,y_2)$, then components of vector is

v= ($x_2-x_1, y_2-y_1$)

Initial point= (6,-7) and terminal point=(4,-6)

Then,

v= (4-6, -6-(-7))

v=(-2, 1)

Thus, the vector v=(-2, 1) have two components -2 and 1.

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