Lesson 3: Vectors Answers
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Two vectors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. The length of the resultant vector is inches.
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differenceproductquotientsum
A
differenceB
productC
quotientD
sum3
The diagram shows vectors that are not perpendicular to one another.The data table shows the magnitudes of the components of each displacement vector.
A
0.1°B
10.0°C
36.9°D
41.1°4
The diagram shows two sets of vectors that result in a single vector.
A
find the square of the first horizontal vector and the square root of the first vertical vectorB
find the square root of the first horizontal vector and the square root of the second horizontal vectorC
find the sum of the two horizontal vectors and the sum of the two vertical vectorsD
find the difference between the two horizontal vectors and the difference between the two vertical vectors5
A jogger runs 5.0 km on a straight trail at an angle of 60° south of west. What is the southern component of the run rounded to the nearest tenth of a kilometer?
A
-4.3 kmB
-2.5 kmC
2.5 kmD
4.3 km6
Study the vector diagram.
A
Tx - Ux - VxB
Tx + Ux + VxC
Tx = TcosθD
Tx = Tsinθ7
The diagram shows components that have been added together to form Rx and Ry. Rx and Ry are the components of the resultant vector.
A
R2 = Rx2 + Ry2B
R = Rx + RyC
R = Rx(cosθ)D
R = Rx(sinθ)
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