Chapter 03, Problem 052 Here are three displacements, each in meters: d 1 2.5i 9

Question

Chapter 03, Problem 052 Here are three displacements, each in meters: d 1 2.5i 9.1 j 7.5k, d2 3 1.0 2.0 3.0k and d 3 4.0i 3.0j 2.0k What is r d 1- d 2 d 3 (ca), (b) and (c) for i, j and k components respectively)? (d) what is the angle between r and the positive z axis? (e) what is the component of d 1 along the direction of d 2 (f) what is the component of d 1 that is perpendicular to the direction of d 2 and in the plane of d 1 and d 2 (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units the tolerance is +/-2% olicy l G 2000-2017 lohn Wiley & Sons, Inc. All Rights Reserved. A Division of lohn Wiley & Sons Inc. Version 4.22.1.2

Explanation / Answer

Here, for the vector r

r = d1 - d2 + d3

r = (2.5 i + 9.1j - 7.5k) - (-1 + 2 j + 3k) + (4 i + 3j + 2k)

r = 7.5 i + 10.1 j - 8.5 k

a) i component = 7.5

b) j component = 10.1

c) k component = -8.5

d) angle between r and z axis = arccos(z/r)

angle between r and z axis = arcos(-8.5/sqrt(7.5^2 + 10.1^2 + 8.5^2))

angle between r and z axis = 124 degree

the angle between r and z axis is 124 degree

-----------------------

please post other parts in a seperate question

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.