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The displacement vector à has scalar components of Ax = 80.0 m and Ay = 60.0 m. The displacement vector B has a scalar component of Bx = 60.0 m, and the magnitude of B = 75.0 m. The displacement C has a magnitude of C = 100.00 m and is directed at an angle of 36.9 degrees above the positive x-axis. Two of these vectors are equal. Determine which two and support your choice with a calculation.

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Vikas
VikasLv10
10 Dec 2020

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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Thedisplacementvector a has scalar componentsofAx = 60 mandAy = 60 m.The displacement vector bhas a scalar component ofBx = 61 manda magnitude of B = 86.3 m. Thedisplacement vector c hasa magnitude of C =84.9 m and is directed at an angleof45.0° above the +x axis.

Which two vectors are equal? (Select all that apply.)
1
vector a vector b vector c None areequal



Support your choice with a calculation.
magnitude of vector a m
magnitude of vector b m
magnitude of vector c m

In this problem, you will add the three vectors together to get a resultant vector. A student is out walking in New York. She walks 1.00 m to the North then she turns West and walks 11.3 m. Lastly she decides to be adventurous and walk 8.80 m at 48.0 degree South of East. (Use East as positive x and North as positive y)What are the x and y components of vector A her first displacement?What are the x and y components of vector B, her next displacement?What are the x and y components of vector C, her last displacement?What are the x and y components of the resultant vector, her total displacement?What is the magnitude of the resultant vector?What is the angle of the resultant vector with respect to the positive x axis?

Displacement 1 is in the yz plane 58.0° from the positive directionof the y axis, has a positive z component, and has a magnitude of4.50 m. Displacement 2 is in the xz plane 30° from the positivedirection of the x axis, has a positive z component, and hasmagnitude 1.90 m.
(a) What is d1 · d2?
_____m2

(b) What is d1 X d2?
m2

(c) What is the angle between d1 and d2?
____°

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