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Ahmad C Physics que I Chegg.com x Wiley PLUS C Secure https edugen/student/main

ID: 1639465 • Letter: A

Question

Ahmad C Physics que I Chegg.com x Wiley PLUS C Secure https edugen/student/main un WileyPLUS: Wiley PLUS Halliday, Fundamentals of Physics, 10e Calculus-based Physics I & II (PH 201-202) Home Read, Study & Practice Assignment Gradebook ORION Assignment open Assignment FULL SCREEN PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Chapter 03, Problem 034 HW3 03 Probl Chapter e Problem Two vectors are given by 3 1.3i 3,8 and b 9,9i 4.9 f. Find (a) X b,cb) a b ccy a b b, and (d) the component of 8 along the direction of b 03 Probl (a) Number Units 03 Problem (b) Number Units 03 Probl (c) Number nits (d) Number Units 050 03 Probl Click if you would like to show Work for this question QRen Show Work SHOW HINT LINK TO TEXT LINK TO SAMpLE pe LINK TO SAMpLE pe License Agreement l Privacy Policy I 2000-2017 lohn Wiley Sans Inc. All Rights Reserved. A Division of 2chn W Sons Inca Version 4.22.3.5 https://edugen wieyplus.com/edugenfsharedWas ent test agist N1006E

Explanation / Answer

a = 1.33 i + 3.8 j

b = 9.9 i + 4.9 j

A.

we know that

ixi = jxj = kxk = 0

ixj = k

jxk = i

kxi = j

a X b = ( 1.3i + 3.8 j) X (9.9 i + 4.9 j)

a X b = 1.3*9.9*ixi + 1.3*4.9*ixj + 3.8*9.9*jxi + 3.8*4.9*jxj

a X b = 0 + 6.37 k - 37.62 k + 0

a X b = -31.25 k

B.

i.i = j.j = k.k = 1

i.j = j.k = k.i = 0

a.b = ( 1.3i + 3.8 j).(9.9 i + 4.9 j)

a.b = 1.3*9.9 + 0 + 0 + 3.8*4.9

a.b = 31.49

C.

(a + b).b = (11.2 i + 8.7 j).(9.9 i + 4.9 j)

(a + b).b = 11.2*9.9 + 0 + 0 + 8.7*4.9

(a + b).b = 153.51

D.

component of a along the direction of b = (a.b)/|b|

|b| = sqrt (9.9^2 + 4.9^2) = 11.046

a.b = 31.49

component of a along the direction of b =

= 31.49/(11.046)

= 2.85

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