### Vector Addition and Direction Calculation**Problem Statement:**Vector **A** has a magnitude of 36 units and points in the positive y-direction. When vector **B** is added to **A**, the resultant vector **A + B** points in the negative y-direction with a magnitude of 28 units. Find the magnitude and direction of **B**.**Attempted Solution:**- **Magnitude of B:** 45.6 units - *Feedback:* Your response differs from the correct answer by more than 10%. Double-check your calculations.- **Direction of B:** 37.87° - *Feedback:* Your response differs from the correct answer by more than 10%. Double-check your calculations. The direction is measured counterclockwise from the +x-axis.**Assistance:**For further help, consider referring to educational resources or consult the instructional guide provided in the "Need Help?" section.**Note:** Ensure your calculations correctly account for vector components and use appropriate trigonometric functions to determine the direction accurately.

vector B A→+B→=R→B→=R→-A→=28-j^-36j^=-64j

Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added to A, the resultant vector A +B points in the negative y direction with a magnitude of 28 units. Find the magnitude and direction of B. 45.6 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. unit(s) 37.87 Your response differs from the correct answer by more than 10%. Double check your calculations. counterclockwise from the +x-axis direction Need Help? Read It

Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added to A, the resultant vector A +B points in the negative y direction with a magnitude of 28 units. Find the magnitude and direction of B. 45.6 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. unit(s) 37.87 Your response differs from the correct answer by more than 10%. Double check your calculations. counterclockwise from the +x-axis direction Need Help? Read It

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

### Vector Addition and Direction Calculation

**Problem Statement:**

Vector **A** has a magnitude of 36 units and points in the positive y-direction. When vector **B** is added to **A**, the resultant vector **A + B** points in the negative y-direction with a magnitude of 28 units. Find the magnitude and direction of **B**.

**Attempted Solution:**

- **Magnitude of B:** 45.6 units
- *Feedback:* Your response differs from the correct answer by more than 10%. Double-check your calculations.

- **Direction of B:** 37.87°
- *Feedback:* Your response differs from the correct answer by more than 10%. Double-check your calculations. The direction is measured counterclockwise from the +x-axis.

**Assistance:**

For further help, consider referring to educational resources or consult the instructional guide provided in the "Need Help?" section.

**Note:** Ensure your calculations correctly account for vector components and use appropriate trigonometric functions to determine the direction accurately.

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