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Found in: Page 150

### Physics For Scientists & Engineers

Book edition 9th Edition
Author(s) Raymond A. Serway, John W. Jewett
Pages 1624 pages
ISBN 9781133947271

# A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y-component is negative. (c) The x-component is negative, and the y-component is positive. (d) Both components are negative. (e) More than one answer is possible.

The correct option is (c).

See the step by step solution

## Step 1: Definition of quadrants

A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is delimited by two half-axes. The coordinates are commonly numbered from 1 to 4 and represented by Roman numerals: I (+, +), || (-, +), III (-, -), and IV (+, -).

## Step 2: Explanation for the correct option

Consider the diagram below, which depicts the coordinate system's partition into four quadrants.

Here, x and y are positive for a point in the | quadrant, || the quadrant x is negative, and both x and y are negative for the third quadrant. x is positive and y is negative if the point is in the fourth quadrant.

The issue specifies that the vector extends from the origin to the second quadrant.

The x-component will be negative, whereas the y-component will be positive, as seen in the diagram.

Hence, option (c) is the correct choice.

## Step 3: Explanation for option (a)

The x-component will be negative and the y-component will be positive.

So, option (a) is incorrect.

## Step 4: Explanation for option (b)

The x-component will be negative and the y-component will be positive.

So, option (b) is incorrect.

## Step 5: Explanation for option (d)

The x-component will be negative and the y-component will be positive.

So, option (d) is incorrect.

## Step 6: Explanation for option (e)

The x-component will be negative and the y-component will be positive.

So, option (e) is incorrect.