Question

1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?

2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?

3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.

Answer 1

Using vector concepts, it is found that:

1. The horizontal component of the vector is 5.

2. The magnitude is of 14.87.

3. The vertical component of the vector is 2.

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A vector (x,y) has x as horizontal component and y as vertical component.

The magnitude is

Given two points, a vector is formed by the subtraction of the endpoint by the start point.

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Item 1:

The horizontal component of the start is -3.

The horizontal component of the end is 2.

Thus, the horizontal component of the vector is

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Item 2:

Starts at (1,9), ends at (6,-5), thus, the coordinates are:

The magnitude is:

The magnitude is of 14.87.

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Item 3:

The vertical component of the start is -10.

The vertical component of the end is -8.

Thus, the vertical component of the vector is

Explanation: