Three vectors are given by a = 2.0 i + (0) j + (0) k , b = 1.0 i + (3.0) j + (1.0) k , and c = ?4.4 i + (?2.0) j + ((?4.0) k . Find: i) a
Given the two position vectors r1 = (-2.,0, 8.0, -2.0) and r2 = (4.0, -2.0, 2.0), in meters, find (a) their resultant and (b) the angle the resultant makes with the x-axis.
Two vectors are given by ⃑A = (4.0 m)x̂ − (3.0 m)ŷ + (1.0)ẑ and B⃑ = (−1.0 m)x̂ + (1.0 m)ŷ + (4.0 m)ẑ. In unit-vector notation, find (a) ⃑A ∙ B⃑ , (b) ⃑A × B⃑ , and (c) the angle between ⃑A and ⃑A × B⃑ .
Two vectors are given by a rightarrow = (4.0 m) i - (3.0 m) j + (1.0 m)k and b rightarrow = (- 1.0 m)i + (1.0 m) j + (4.0 m)k. In unit vector rotation find a rightarrow + b rightarrow, a rightarrow - b rightarrow, and a third vector c rightarrow such that a rightarrow - b rightarrow + c rightarrow = 0. Number Number Number
Chapter 03, Problem 009 Incorrect. Two vectors are given by a 4.0 m jí 3.0 m j/t 1.0 mjk and b-Ί 1.0 m ji t l 1.0 m jj + | 4.0 m )k In unit vector notation, find (a) a b, (b) a-b, and (e) a third vector such that ab+-0 (a) Numberi Unit (b) Numbe (c) Numbe Un
4.0 m-3.0 m |j + 1.0 m k and b-Ί-1.0 m-1.0 m-4.0 m |k . In unit-vector notation, find (a) a + b Two vectors are given by a = (b) a-b,and (c) a third vectorç such that a-b+(10 (a) Number k Units (b) Number k Units (c) Number 3 Units
Consider the following diagram. p (atm) 4.0 3.05 2.0 1.0 R — V (L) 1.0 2.0 3.0 4.0 5.0 (a) What is the change in internal energy (in )) for the process represented by the closed path shown above? (b) How much heat is exchanged in 1)? 149 X ] (c) If the path is traversed in the opposite direction, how much heat is exchanged (in )? - 149
16 For the displacement vectors a-(3.0 m)^ + (4.0 m)^ and B. (5.0 m)i(-2.0 m)j, give a +bin Figure 3-28 Problem 15. (a) unit-vector notation, and as (b) a magnitude and (c) an angle (rela- tive to i). Now give b - a in (d) unit-vector notation, and as (e) a magnitude and (f) an angle
Given two vectors, ? = 2.5 ?̂ + 1.0 ?̂ and ? = .5 ?̂, if a third vector is ? = ? − ?, what is the angle ? makes with the x-axis? a. 26.6°??????h????? c.63.4°??????h????? b. 26.6° ????? ?h? ???? a. 26.6°??????h????? b.63.4°??????h????? c. 26.6° ????? ?h? ???? d. 63.4° ????? ?h? ???? (HOW?)
1. Two vectors are given by 16m at 45 degrees from the x axis and 25 m at 30 degrees from the x axis. Draw the two vectors to scale. Start the second vector at the end of the first vector. Draw the resultant vector. a. b. Write each vector in terms o ij coordinates. c. What is the sum of the two vectors? Write your answer in <4 format and as a magnitude and an angle.