` ### Vector Operations#### Problem Statement4. Given the two vectors shown in the figure, calculate: a) \(2.00(\vec{B} \cdot \vec{C})\) b) \(-5.00(\vec{B} \times \vec{C})\)**Note:** There are no units, but be careful about significant figures. If the answer is a vector, write it as a magnitude and direction (*in words or with a unit vector*).---#### Vector Diagram DescriptionThe diagram depicts two vectors in relation to the xy-coordinate system.- **Vector \(\vec{B}\):** - Magnitude: 9.35 units - Direction: 53.1° from the positive x-axis in the counterclockwise direction.- **Vector \(\vec{C}\):** - Magnitude: 7.19 units - Aligned with the positive x-axis.The diagram includes axes labeled 'x' and 'y' with \(\vec{B}\) oriented upwards and to the left, and \(\vec{C}\) directed along the positive x-axis.

Answered: Image /qna-images/answer/a5d32f98-add1-45ea-9772-9ca9f427e407.jpg

Given the two vectors shown in the figure, calculate a) 2.00(B-C) b) -5.00 (B × C) There are no units, but be careful about significant figures. If the answer is a vector, write it as a magnitude and direction (in words or with a unit vector). B = 9.35 53.1° C = 7.19

Given the two vectors shown in the figure, calculate a) 2.00(B-C) b) -5.00 (B × C) There are no units, but be careful about significant figures. If the answer is a vector, write it as a magnitude and direction (in words or with a unit vector). B = 9.35 53.1° C = 7.19

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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Question

### Vector Operations

#### Problem Statement
4. Given the two vectors shown in the figure, calculate:

a) \(2.00(\vec{B} \cdot \vec{C})\)

b) \(-5.00(\vec{B} \times \vec{C})\)

**Note:** There are no units, but be careful about significant figures. If the answer is a vector, write it as a magnitude and direction (*in words or with a unit vector*).

---

#### Vector Diagram Description

The diagram depicts two vectors in relation to the xy-coordinate system.

- **Vector \(\vec{B}\):**
- Magnitude: 9.35 units
- Direction: 53.1° from the positive x-axis in the counterclockwise direction.

- **Vector \(\vec{C}\):**
- Magnitude: 7.19 units
- Aligned with the positive x-axis.

The diagram includes axes labeled 'x' and 'y' with \(\vec{B}\) oriented upwards and to the left, and \(\vec{C}\) directed along the positive x-axis.

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