3. 3. State the magnitude and direction of each of the vectors given below. a) r-30...
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3. State the magnitude and direction of each of the vectors given below. a) r--30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F 20 N at-45° (force vector) d) p50 kg m/s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and...
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2D vectors
Lec ture Supplement 4: Intro Vectors Worksheet B Provide an example of a) ID b) 2D c) 3D a vector (graphical, verbal, or mathematical) that is in: (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? &Define a unit vector. Give an example of a...
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ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in...
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Lec ture Supplement 4: Intro Vectors Worksheet B Provide an example of a) ID b) 2D c) 3D a vector (graphical, verbal, or mathematical) that is in: (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? &Define a unit vector. Give an example of a unit vector...
8. Vector ? has a magnitude of 35.0 units and points in the direction 325° counterclockwise from the positive x axis. Calculate the x and y components of this vector. 9. A vector has an x component of -25.0 units and a y component of 40.0 units. Find the magnitude and direction of this vector. 10. A force ? 1 of magnitude 6.00 newtons acts on an object at the origin in a direction θ = 30.0° above the positive...
Vector A has magnitude 9.0 m and is at an angle of 30 above the negative x-axis, Vector B has magnitude 4.0 m and is at an angle of 20 above the positive x-axis. Vector C (unknown) is the sum of A and B. (a) Find the x-and y-components of the known vectors, A and B. Then, for the unknown vector C find (b) the x- and y-components, and (c) the magnitude and direction. As always as part of your...
Show work and please explain!
1. Vector addition and subtraction: We are given the magnitudes and directions of the vectors A and B as follows (a) Carefully sketch each vector individually, then sketch the sum C-A+B and sketch the difference D-A B. Try to make the lengths to scale and make the angles relatively accurate. (Use a protractor.) Use trigonometry to find the components of cach of the four vectors A, B, C, and D Use trigonometry to find the...
Given are three vectors. Vector A of magnitude 7.10 units is in a direction θ = 31.0° above the positive x-axis. Vector B of magnitude 5.00 units is directed in the direction of the positive y-axis. Vector C of magnitude 6.60 units is in a direction ϕ = 37.0° clockwise from the negative y-axis. Find the magnitude and direction of 2 A − B + 3C. Find m agnitude and direction in degrees counterclockwise
Given are three vectors. Vector A of magnitude 5.30 units is in a direction θ = 36.0° above the positive x-axis. Vector B of magnitude 5.00 units is directed in the direction of the positive y-axis. Vector C of magnitude 5.80 units is in a direction ϕ = 37.0° clockwise from the negative y-axis. Find the magnitude and direction of 2 A − B + 3C magnitude units direction ° counterclockwise from the +x-axis
Given are three vectors. Vector
A
of magnitude 5.10 units is in a direction θ = 53.0°
above the positive x-axis. Vector
B
of magnitude 5.00 units is directed in the direction of the
positive y-axis. Vector
C
of magnitude 6.20 units is in a direction ϕ = 51.0°
clockwise from the negative y-axis.
Find the magnitude and direction of 2
A − B +
3C
magnitude
units
direction
° counterclockwise from the +x-axis
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