Homework Answers
We have used law of parallelogram for vector addition. First i
have given the definition of the law then formula from which
resultant vector's magnitude and direction can be found.
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III. Addition of Vectors 10. Vector u has a magnitude of 20 and a 11. Vector...
1. A vector u has a magnitude of 16 and a direction of 0°. A vector...
1. A vector u has a magnitude of 16 and a direction of 0°. A vector v has a magnitude of 12 and a direction of 80°. Find the direction and magnitude of u v to the nearest whole values. 2. Two forces with magnitudes of 20 pounds and 32 pounds are applied to an object. The magnitude of the resultant force is 22 pounds. Find the measurement of the angle between the resultant vector and the vector with 20...
Find the magnitude and direction of the resultant vector of the following four vectors. Calculate the...
Find the magnitude and direction of the resultant vector of the following four vectors. Calculate the angle relative to x axis. Vector A: 10 m, 30* above the +x axis Vector B: 12 m, 15° left of +y axis Vector C: 7 m, 20° below the -x axis Vector D: 15 m, 40* right of -y axis
Part A. Geometric Addition What is the magnitude and direction of the resultant vector, R, when...
Part A. Geometric Addition
What is the magnitude and direction of the resultant vector, R,
when the parallelogram law is applied to A and B?
Part B. Component addition of vectors
What is the resultant vector, R, obtained by adding vectors C
and D?
Part C. Addition of more than two vectors
For the vector sum R = A + B + C + D, what are the magnitude and
direction of the resultant R?
Learning Goal: To use geometric...
Geometric and Component Vector Addition Part A - Geometric addition What are the magnitude and direction...
Geometric and Component Vector Addition Part A - Geometric addition What are the magnitude and direction of the resultant vector, R, when the parallelogram law is applied to A and B? Learning Goal To use geometric and component addition of vectors Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma Four vectors A, B, C, and D are shown (not to scale)....
3. Determine the magnitude of the resultant vector uti using the Parallelogram method. Verify with the...
3. Determine the magnitude of the resultant vector uti using the Parallelogram method. Verify with the Head-to-Tail Method v=60N 38 u = 40N MCTAC: Mathematics for College Technology Module 4: Vectors and Geometry Lesson 18: Adding Vectors Using the Head-to-Tail and the Parallelogram Methods Vector ü has magnitude 30 M and vector i has magnitude 40N.. When placed tail-to-tail, the angle between i and V is 50° a) Determine the magnitude of the resultant vector ü + b) Determine the...
Section 1.7 Vectors and Vector Addition 1.24 For the vectors A and Figure E1.24 B in...
Section 1.7 Vectors and Vector Addition 1.24 For the vectors A and Figure E1.24 B in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector D (10.0 m) 30.0 difference A -B. Use your answers to find the magnitude and direction of (c) -A -B5 0 and (d) B -A. (See also Exercise 1.31 for a different approach.) 1.25A postal employee drives a delivery truck...
14. If u is a vector with magnitude of 18 and direction angle of 80º and...
14. If u is a vector with magnitude of 18 and direction angle of 80º and vis a vector with magnitude of 24 and direction angle of 150°. find the magnitude and direction angle of utv. 15. If | V = 2 and 0 = 300°, write v in component form. 16. An airplane is heading north at an airspeed of 400 km/hr, but there is a wind blowing from the southwest at 60 km/hr. How many degrees off course...
Vector Addition – add the following 3 vectors (find the resultant vector – magnitude and orientation)...
Vector Addition – add the following 3 vectors (find the resultant vector – magnitude and orientation) F1 = 85 N, 60º above the horizontal F2 = 180 N, 35º below the horizontal F3 = 35 N, along the vertical (at 90º)
Vector Addition – add the following 3 vectors (find the resultant vector – magnitude and orientation)...
Vector Addition – add the following 3 vectors (find the resultant vector – magnitude and orientation) F1 = 85 N, 60º above the horizontal F2 = 180 N, 35º below the horizontal F3 = 35 N, along the vertical (at 90º)
8. Vector ? has a magnitude of 35.0 units and points in the direction 325° counterclockwise...
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...
Find the magnitude and direction of the resultant vector of the following four vectors. Calculate the angle relative to x axis. Vector A: 10 m, 30* above the +x axis Vector B: 12 m, 15° left of +y axis Vector C: 7 m, 20° below the -x axis Vector D: 15 m, 40* right of -y axis
Part A. Geometric Addition
What is the magnitude and direction of the resultant vector, R,
when the parallelogram law is applied to A and B?
Part B. Component addition of vectors
What is the resultant vector, R, obtained by adding vectors C
and D?
Part C. Addition of more than two vectors
For the vector sum R = A + B + C + D, what are the magnitude and
direction of the resultant R?
Learning Goal: To use geometric...
Geometric and Component Vector Addition Part A - Geometric addition What are the magnitude and direction of the resultant vector, R, when the parallelogram law is applied to A and B? Learning Goal To use geometric and component addition of vectors Express the magnitude to three significant figures. Express the angle to one decimal place, measured counterclockwise from the positive x axis. Separate your answers by a comma Four vectors A, B, C, and D are shown (not to scale)....
3. Determine the magnitude of the resultant vector uti using the Parallelogram method. Verify with the Head-to-Tail Method v=60N 38 u = 40N MCTAC: Mathematics for College Technology Module 4: Vectors and Geometry Lesson 18: Adding Vectors Using the Head-to-Tail and the Parallelogram Methods Vector ü has magnitude 30 M and vector i has magnitude 40N.. When placed tail-to-tail, the angle between i and V is 50° a) Determine the magnitude of the resultant vector ü + b) Determine the...
Section 1.7 Vectors and Vector Addition 1.24 For the vectors A and Figure E1.24 B in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector D (10.0 m) 30.0 difference A -B. Use your answers to find the magnitude and direction of (c) -A -B5 0 and (d) B -A. (See also Exercise 1.31 for a different approach.) 1.25A postal employee drives a delivery truck...
14. If u is a vector with magnitude of 18 and direction angle of 80º and vis a vector with magnitude of 24 and direction angle of 150°. find the magnitude and direction angle of utv. 15. If | V = 2 and 0 = 300°, write v in component form. 16. An airplane is heading north at an airspeed of 400 km/hr, but there is a wind blowing from the southwest at 60 km/hr. How many degrees off course...
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