Phys 1302 Test 1 124/2018) Bubble in your name, Peoplesoft IDH, and your answers

Question

Phys 1302 Test 1 124/2018) Bubble in your name, Peoplesoft IDH, and your answers on the scantron sheet. Use a W2 pencil. Time: 40 min (1) Find the sum (A+ B) for given vectors A--38+29-92 and B 4-59-2 A) 8+7y-82 B)38+29-92 C)-78+79-82 D) R-39-102 E)3 8 + 9-98 (2) Find the angle between vectors Aand refer to question 1). A) 21 B) 420 C) 92 D) 102 E) 120 (3) Evaluate (A x B) for given A and B in question 1. A) 478+399+72 B)-128-10y+92 C)-478-399+72 D) +12 R+109 +92 E)R-39+ 2 (4) The speed of sound wave produced by a car stereo is 330 m/s. Find the wavelength of the sound wave if its frequency is 5.0 Hz. A) 23 m B) 66 m C) 165 m D) 0.015 m E) 1650 m

Explanation / Answer

1) A + B = -3x + 2y - 9z + 4x - 5y -z

= x - 3y - 10z

option d)

2) Angle between vectors = cos^-1 ( A.B / [A][B] )  

= cos^-1 ( -3*4 + 2*-5 + -9*-1) / sqrt(3^2 + 2^2+9^2) * sqrt(4^2 + 5^2 + 1^2)

= 1020

Option c

3) A X B = [ x y z]

[ -3 2 -9]

[4 -5 -1]

x(-2 - 45 ) -y(3 - (-36)) +z(15-8)

= -47x -39y + 7z

option c)

4) wavelength = velocity / frequency = 330/5 = 66 m

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