What is the magnitudeWhat is the magnitudeof C = A + B, in meters?of D = 2A - B, in meters? Consider the two displacement vectors, A = (2.8 m)i + (-3.6 m)j + (-2.6 m)k and B = (2.1 m)i + (-7.4 m)j + (2.8 m)k.

The vectors A→=2.8i^+-3.6j^+-2.6k^ m, B→=2.1i^+-7.4j^+2.8k^ m Vector C→=A→+B→…

Answered: What is the magnitude What is the…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 50P: Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component...

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What is the magnitude
What is the magnitude
of C = A + B, in meters?
of D = 2A - B, in meters?

Consider the two displacement vectors, A = (2.8 m)i + (-3.6 m)j + (-2.6 m)k and B = (2.1 m)i + (-7.4 m)j + (2.8 m)k.

Expert Solution

Step 1

The vectors $\vec{A} = [(2.8) \hat{i} + (- 3.6) \hat{j} + (- 2.6) \hat{k}] m$ , $\vec{B} = [(2.1) \hat{i} + (- 7.4) \hat{j} + (2.8) \hat{k}] m$

Vector $\vec{C} = \vec{A} + \vec{B}$

$\vec{C} = [(2.8 + 2.1) \hat{i} + (- 3.6 - 7.4) \hat{j} + (- 2.6 + 2.8) \hat{k}] m$

$\vec{C} = [(4.9) \hat{i} + (- 11.0) \hat{j} + (0.2) \hat{k}] m$

Magnitude of $\vec{C}$ is, $C = \sqrt{{(4.9 m)}^{2} + {(- 11.0 m)}^{2} + {(0.2 m)}^{2}} = 12.044 m$ .

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What is the magnitude What is the magnitude of C = A + B, in meters? of D = 2A - B, in meters?