vector review

vector review - brown(twb493 – vec rev – chiu –(56565...

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Unformatted text preview: brown (twb493) – vec rev – chiu – (56565) 1 This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 7) 3.0 points A proton is located at: ( 3 × 10 − 10 m , − 8 × 10 − 10 m , 5 × 10 − 10 m ) . Find vectorr , the location of the proton from the origin where vectorr = ( r x , r y , r z ) . What is r x in meters? Your answer must be within ± 5.0% Correct answer: 3 × 10 − 10 m. Explanation: The position of the proton is the vector from the origin to the location of the proton. In this case: ( 3 × 10 − 10 m , − 8 × 10 − 10 m , 5 × 10 − 10 m ) 002 (part 2 of 7) 3.0 points What is r y in meters? Your answer must be within ± 5.0% Correct answer: − 8 × 10 − 10 m. Explanation: The position of the proton is the vector from the origin to the location of the proton. In this case: ( 3 × 10 − 10 m , − 8 × 10 − 10 m , 5 × 10 − 10 m ) 003 (part 3 of 7) 3.0 points What is r z in meters? Your answer must be within ± 5.0% Correct answer: 5 × 10 − 10 m. Explanation: The position of the proton is the vector from the origin to the location of the proton. In this case: ( 3 × 10 − 10 m , − 8 × 10 − 10 m , 5 × 10 − 10 m ) 004 (part 4 of 7) 2.0 points What is | vectorr | in meters? Your answer must be within ± 5.0% Correct answer: 9 . 89949 × 10 − 10 m. Explanation: The magnitude of vectorr is found by: | vectorr | = radicalBig r 2 x + r 2 y + r 2 z where: r x = 3 × 10 − 10 m r y = − 8 × 10 − 10 m r z = 5 × 10 − 10 m therefore: | vectorr | = 9 . 89949 × 10 − 10 m 005 (part 5 of 7) 3.0 points What is ˆ r x , the x component of the unit vector in the direction of vectorr ? Your answer must be within ± 5.0% Correct answer: 0 . 303046. Explanation: The unit vector has the form: ˆ r = vectorr | vectorr | . This means that the x component of the unit vector is: ˆ r x = r x | vectorr | = 3 × 10 − 10 m 9 . 89949 × 10 − 10 m = 0 . 303046 006 (part 6 of 7) 3.0 points What is ˆ r y , the y component of the unit vector in the direction of vectorr ? Your answer must be within ± 5.0% Correct answer: − . 808122. Explanation: The unit vector has the form: ˆ r = vectorr | vectorr | . brown (twb493) – vec rev – chiu – (56565) 2 This means that the y component of the unit vector is: ˆ r y = r y | vectorr | = − 8 × 10 − 10 m 9 . 89949 × 10 − 10 m = − . 808122 007 (part 7 of 7) 3.0 points What is ˆ r z , the z component of the unit vector in the direction of vectorr ? Your answer must be within ± 5.0% Correct answer: 0 . 505076. Explanation: The unit vector has the form: ˆ r = vectorr | vectorr | ....
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This note was uploaded on 12/01/2011 for the course PHY 303L taught by Professor Turner during the Fall '08 term at University of Texas.

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vector review - brown(twb493 – vec rev – chiu –(56565...

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